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Finding the Third Proportional to 687,062 and 903,484

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Solution

The third proportional to 687,062 and 903,484 is: 1,188,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,062 : 903,484 = 903,484 : x
  2. Step 2: Convert to fraction form
    687,062/903,484 = 903,484/x
  3. Step 3: Cross multiply
    687,062x = 903,484 × 903,484
  4. Step 4: Simplify right side
    687,062x = 816,283,338,256
  5. Step 5: Solve for x
    x = 816,283,338,256/687,062
  6. Step 6: Final answer
    x = 1,188,078.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.