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Finding the Third Proportional to 71,872 and 156,176

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Solution

The third proportional to 71,872 and 156,176 is: 339,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872 : 156,176 = 156,176 : x
  2. Step 2: Convert to fraction form
    71,872/156,176 = 156,176/x
  3. Step 3: Cross multiply
    71,872x = 156,176 × 156,176
  4. Step 4: Simplify right side
    71,872x = 24,390,942,976
  5. Step 5: Solve for x
    x = 24,390,942,976/71,872
  6. Step 6: Final answer
    x = 339,366.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.