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Finding the Third Proportional to 687,781.97 and 1,618,322.20

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Solution

The third proportional to 687,781.97 and 1,618,322.20 is: 3,807,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,781.97 : 1,618,322.20 = 1,618,322.20 : x
  2. Step 2: Convert to fraction form
    687,781.97/1,618,322.20 = 1,618,322.20/x
  3. Step 3: Cross multiply
    687,781.97x = 1,618,322.20 × 1,618,322.20
  4. Step 4: Simplify right side
    687,781.97x = 2,618,966,753,127.35
  5. Step 5: Solve for x
    x = 2,618,966,753,127.35/687,781.97
  6. Step 6: Final answer
    x = 3,807,844.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.