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Finding the Third Proportional to 71,872 and 156,928

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Solution

The third proportional to 71,872 and 156,928 is: 342,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872 : 156,928 = 156,928 : x
  2. Step 2: Convert to fraction form
    71,872/156,928 = 156,928/x
  3. Step 3: Cross multiply
    71,872x = 156,928 × 156,928
  4. Step 4: Simplify right side
    71,872x = 24,626,397,184
  5. Step 5: Solve for x
    x = 24,626,397,184/71,872
  6. Step 6: Final answer
    x = 342,642.44

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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.