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Finding the Third Proportional to 27,828 and 42,624

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Solution

The third proportional to 27,828 and 42,624 is: 65,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 42,624 = 42,624 : x
  2. Step 2: Convert to fraction form
    27,828/42,624 = 42,624/x
  3. Step 3: Cross multiply
    27,828x = 42,624 × 42,624
  4. Step 4: Simplify right side
    27,828x = 1,816,805,376
  5. Step 5: Solve for x
    x = 1,816,805,376/27,828
  6. Step 6: Final answer
    x = 65,286.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.