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Finding the Third Proportional to 637,789 and 987,491

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Solution

The third proportional to 637,789 and 987,491 is: 1,528,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,789 : 987,491 = 987,491 : x
  2. Step 2: Convert to fraction form
    637,789/987,491 = 987,491/x
  3. Step 3: Cross multiply
    637,789x = 987,491 × 987,491
  4. Step 4: Simplify right side
    637,789x = 975,138,475,081
  5. Step 5: Solve for x
    x = 975,138,475,081/637,789
  6. Step 6: Final answer
    x = 1,528,935.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.