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Finding the Third Proportional to 54.13 and 86.03

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Solution

The third proportional to 54.13 and 86.03 is: 136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.13 : 86.03 = 86.03 : x
  2. Step 2: Convert to fraction form
    54.13/86.03 = 86.03/x
  3. Step 3: Cross multiply
    54.13x = 86.03 × 86.03
  4. Step 4: Simplify right side
    54.13x = 7,401.38
  5. Step 5: Solve for x
    x = 7,401.38/54.13
  6. Step 6: Final answer
    x = 136.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.