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Finding the Third Proportional to 642,123 and 987,327

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Solution

The third proportional to 642,123 and 987,327 is: 1,518,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,123 : 987,327 = 987,327 : x
  2. Step 2: Convert to fraction form
    642,123/987,327 = 987,327/x
  3. Step 3: Cross multiply
    642,123x = 987,327 × 987,327
  4. Step 4: Simplify right side
    642,123x = 974,814,604,929
  5. Step 5: Solve for x
    x = 974,814,604,929/642,123
  6. Step 6: Final answer
    x = 1,518,111.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.