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Finding the Third Proportional to 36,624 and 78,432

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Solution

The third proportional to 36,624 and 78,432 is: 167,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,624 : 78,432 = 78,432 : x
  2. Step 2: Convert to fraction form
    36,624/78,432 = 78,432/x
  3. Step 3: Cross multiply
    36,624x = 78,432 × 78,432
  4. Step 4: Simplify right side
    36,624x = 6,151,578,624
  5. Step 5: Solve for x
    x = 6,151,578,624/36,624
  6. Step 6: Final answer
    x = 167,965.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.