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Finding the Third Proportional to 71,406 and 168,849

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Solution

The third proportional to 71,406 and 168,849 is: 399,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406 : 168,849 = 168,849 : x
  2. Step 2: Convert to fraction form
    71,406/168,849 = 168,849/x
  3. Step 3: Cross multiply
    71,406x = 168,849 × 168,849
  4. Step 4: Simplify right side
    71,406x = 28,509,984,801
  5. Step 5: Solve for x
    x = 28,509,984,801/71,406
  6. Step 6: Final answer
    x = 399,265.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.