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Finding the Third Proportional to 780,661.13 and 1,807,118.25

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Solution

The third proportional to 780,661.13 and 1,807,118.25 is: 4,183,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,661.13 : 1,807,118.25 = 1,807,118.25 : x
  2. Step 2: Convert to fraction form
    780,661.13/1,807,118.25 = 1,807,118.25/x
  3. Step 3: Cross multiply
    780,661.13x = 1,807,118.25 × 1,807,118.25
  4. Step 4: Simplify right side
    780,661.13x = 3,265,676,369,483.06
  5. Step 5: Solve for x
    x = 3,265,676,369,483.06/780,661.13
  6. Step 6: Final answer
    x = 4,183,218.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.