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Finding the Third Proportional to 71,448 and 156,720

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Solution

The third proportional to 71,448 and 156,720 is: 343,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,448 : 156,720 = 156,720 : x
  2. Step 2: Convert to fraction form
    71,448/156,720 = 156,720/x
  3. Step 3: Cross multiply
    71,448x = 156,720 × 156,720
  4. Step 4: Simplify right side
    71,448x = 24,561,158,400
  5. Step 5: Solve for x
    x = 24,561,158,400/71,448
  6. Step 6: Final answer
    x = 343,762.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.