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Finding the Third Proportional to 448,724,180 and 689,295,280

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Solution

The third proportional to 448,724,180 and 689,295,280 is: 1,058,841,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,180 : 689,295,280 = 689,295,280 : x
  2. Step 2: Convert to fraction form
    448,724,180/689,295,280 = 689,295,280/x
  3. Step 3: Cross multiply
    448,724,180x = 689,295,280 × 689,295,280
  4. Step 4: Simplify right side
    448,724,180x = 475,127,983,030,278,400
  5. Step 5: Solve for x
    x = 475,127,983,030,278,400/448,724,180
  6. Step 6: Final answer
    x = 1,058,841,943.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.