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Finding the Third Proportional to 131.38 and 279.97

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Solution

The third proportional to 131.38 and 279.97 is: 596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 279.97 = 279.97 : x
  2. Step 2: Convert to fraction form
    131.38/279.97 = 279.97/x
  3. Step 3: Cross multiply
    131.38x = 279.97 × 279.97
  4. Step 4: Simplify right side
    131.38x = 78,382.50
  5. Step 5: Solve for x
    x = 78,382.50/131.38
  6. Step 6: Final answer
    x = 596.63

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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.