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Finding the Third Proportional to 16,981 and 36,151

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Solution

The third proportional to 16,981 and 36,151 is: 76,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981 : 36,151 = 36,151 : x
  2. Step 2: Convert to fraction form
    16,981/36,151 = 36,151/x
  3. Step 3: Cross multiply
    16,981x = 36,151 × 36,151
  4. Step 4: Simplify right side
    16,981x = 1,306,894,801
  5. Step 5: Solve for x
    x = 1,306,894,801/16,981
  6. Step 6: Final answer
    x = 76,962.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.