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Finding the Third Proportional to 72,344 and 156,716

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Solution

The third proportional to 72,344 and 156,716 is: 339,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,344 : 156,716 = 156,716 : x
  2. Step 2: Convert to fraction form
    72,344/156,716 = 156,716/x
  3. Step 3: Cross multiply
    72,344x = 156,716 × 156,716
  4. Step 4: Simplify right side
    72,344x = 24,559,904,656
  5. Step 5: Solve for x
    x = 24,559,904,656/72,344
  6. Step 6: Final answer
    x = 339,487.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.