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Finding the Third Proportional to 71,940 and 156,999

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Solution

The third proportional to 71,940 and 156,999 is: 342,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940 : 156,999 = 156,999 : x
  2. Step 2: Convert to fraction form
    71,940/156,999 = 156,999/x
  3. Step 3: Cross multiply
    71,940x = 156,999 × 156,999
  4. Step 4: Simplify right side
    71,940x = 24,648,686,001
  5. Step 5: Solve for x
    x = 24,648,686,001/71,940
  6. Step 6: Final answer
    x = 342,628.38

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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.