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Finding the Third Proportional to 539,988,810,403.50 and 780,190,581,388.50

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Solution

The third proportional to 539,988,810,403.50 and 780,190,581,388.50 is: 1,127,240,660,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,988,810,403.50 : 780,190,581,388.50 = 780,190,581,388.50 : x
  2. Step 2: Convert to fraction form
    539,988,810,403.50/780,190,581,388.50 = 780,190,581,388.50/x
  3. Step 3: Cross multiply
    539,988,810,403.50x = 780,190,581,388.50 × 780,190,581,388.50
  4. Step 4: Simplify right side
    539,988,810,403.50x = 608,697,343,287,325,641,146,368
  5. Step 5: Solve for x
    x = 608,697,343,287,325,641,146,368/539,988,810,403.50
  6. Step 6: Final answer
    x = 1,127,240,660,473.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.