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Finding the Third Proportional to 279.38 and 424.78

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Solution

The third proportional to 279.38 and 424.78 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 424.78 = 424.78 : x
  2. Step 2: Convert to fraction form
    279.38/424.78 = 424.78/x
  3. Step 3: Cross multiply
    279.38x = 424.78 × 424.78
  4. Step 4: Simplify right side
    279.38x = 180,439.11
  5. Step 5: Solve for x
    x = 180,439.11/279.38
  6. Step 6: Final answer
    x = 645.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.