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Finding the Third Proportional to 71,424 and 156,672

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Solution

The third proportional to 71,424 and 156,672 is: 343,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424 : 156,672 = 156,672 : x
  2. Step 2: Convert to fraction form
    71,424/156,672 = 156,672/x
  3. Step 3: Cross multiply
    71,424x = 156,672 × 156,672
  4. Step 4: Simplify right side
    71,424x = 24,546,115,584
  5. Step 5: Solve for x
    x = 24,546,115,584/71,424
  6. Step 6: Final answer
    x = 343,667.61

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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.