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Finding the Third Proportional to 83,916 and 171,720

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Solution

The third proportional to 83,916 and 171,720 is: 351,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916 : 171,720 = 171,720 : x
  2. Step 2: Convert to fraction form
    83,916/171,720 = 171,720/x
  3. Step 3: Cross multiply
    83,916x = 171,720 × 171,720
  4. Step 4: Simplify right side
    83,916x = 29,487,758,400
  5. Step 5: Solve for x
    x = 29,487,758,400/83,916
  6. Step 6: Final answer
    x = 351,396.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.