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Finding the Third Proportional to 71,909 and 156,937

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Solution

The third proportional to 71,909 and 156,937 is: 342,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,909 : 156,937 = 156,937 : x
  2. Step 2: Convert to fraction form
    71,909/156,937 = 156,937/x
  3. Step 3: Cross multiply
    71,909x = 156,937 × 156,937
  4. Step 4: Simplify right side
    71,909x = 24,629,221,969
  5. Step 5: Solve for x
    x = 24,629,221,969/71,909
  6. Step 6: Final answer
    x = 342,505.42

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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.