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Finding the Third Proportional to 78,624 and 167,744

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Solution

The third proportional to 78,624 and 167,744 is: 357,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,624 : 167,744 = 167,744 : x
  2. Step 2: Convert to fraction form
    78,624/167,744 = 167,744/x
  3. Step 3: Cross multiply
    78,624x = 167,744 × 167,744
  4. Step 4: Simplify right side
    78,624x = 28,138,049,536
  5. Step 5: Solve for x
    x = 28,138,049,536/78,624
  6. Step 6: Final answer
    x = 357,881.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.