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Finding the Third Proportional to 71,359 and 156,842

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Solution

The third proportional to 71,359 and 156,842 is: 344,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,359 : 156,842 = 156,842 : x
  2. Step 2: Convert to fraction form
    71,359/156,842 = 156,842/x
  3. Step 3: Cross multiply
    71,359x = 156,842 × 156,842
  4. Step 4: Simplify right side
    71,359x = 24,599,412,964
  5. Step 5: Solve for x
    x = 24,599,412,964/71,359
  6. Step 6: Final answer
    x = 344,727.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.