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Finding the Third Proportional to 657,150.75 and 988,642.13

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Solution

The third proportional to 657,150.75 and 988,642.13 is: 1,487,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,150.75 : 988,642.13 = 988,642.13 : x
  2. Step 2: Convert to fraction form
    657,150.75/988,642.13 = 988,642.13/x
  3. Step 3: Cross multiply
    657,150.75x = 988,642.13 × 988,642.13
  4. Step 4: Simplify right side
    657,150.75x = 977,413,251,324.52
  5. Step 5: Solve for x
    x = 977,413,251,324.52/657,150.75
  6. Step 6: Final answer
    x = 1,487,350.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.