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Finding the Third Proportional to 71,937 and 156,474

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Solution

The third proportional to 71,937 and 156,474 is: 340,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,937 : 156,474 = 156,474 : x
  2. Step 2: Convert to fraction form
    71,937/156,474 = 156,474/x
  3. Step 3: Cross multiply
    71,937x = 156,474 × 156,474
  4. Step 4: Simplify right side
    71,937x = 24,484,112,676
  5. Step 5: Solve for x
    x = 24,484,112,676/71,937
  6. Step 6: Final answer
    x = 340,354.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.