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Finding the Third Proportional to 216,988 and 328,542

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Solution

The third proportional to 216,988 and 328,542 is: 497,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,988 : 328,542 = 328,542 : x
  2. Step 2: Convert to fraction form
    216,988/328,542 = 328,542/x
  3. Step 3: Cross multiply
    216,988x = 328,542 × 328,542
  4. Step 4: Simplify right side
    216,988x = 107,939,845,764
  5. Step 5: Solve for x
    x = 107,939,845,764/216,988
  6. Step 6: Final answer
    x = 497,446.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.