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Finding the Third Proportional to 115.13 and 270.19

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Solution

The third proportional to 115.13 and 270.19 is: 634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 270.19 = 270.19 : x
  2. Step 2: Convert to fraction form
    115.13/270.19 = 270.19/x
  3. Step 3: Cross multiply
    115.13x = 270.19 × 270.19
  4. Step 4: Simplify right side
    115.13x = 73,001.29
  5. Step 5: Solve for x
    x = 73,001.29/115.13
  6. Step 6: Final answer
    x = 634.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.