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Finding the Third Proportional to 115.38 and 251.69

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Solution

The third proportional to 115.38 and 251.69 is: 549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.38 : 251.69 = 251.69 : x
  2. Step 2: Convert to fraction form
    115.38/251.69 = 251.69/x
  3. Step 3: Cross multiply
    115.38x = 251.69 × 251.69
  4. Step 4: Simplify right side
    115.38x = 63,346.60
  5. Step 5: Solve for x
    x = 63,346.60/115.38
  6. Step 6: Final answer
    x = 549.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.