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Finding the Third Proportional to 71,912 and 156,947

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Solution

The third proportional to 71,912 and 156,947 is: 342,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,912 : 156,947 = 156,947 : x
  2. Step 2: Convert to fraction form
    71,912/156,947 = 156,947/x
  3. Step 3: Cross multiply
    71,912x = 156,947 × 156,947
  4. Step 4: Simplify right side
    71,912x = 24,632,360,809
  5. Step 5: Solve for x
    x = 24,632,360,809/71,912
  6. Step 6: Final answer
    x = 342,534.78

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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.