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Finding the Third Proportional to 51.38 and 115.13

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Solution

The third proportional to 51.38 and 115.13 is: 257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 115.13 = 115.13 : x
  2. Step 2: Convert to fraction form
    51.38/115.13 = 115.13/x
  3. Step 3: Cross multiply
    51.38x = 115.13 × 115.13
  4. Step 4: Simplify right side
    51.38x = 13,253.77
  5. Step 5: Solve for x
    x = 13,253.77/51.38
  6. Step 6: Final answer
    x = 257.98

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.