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Finding the Third Proportional to 86.06 and 114.09

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Solution

The third proportional to 86.06 and 114.09 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.06 : 114.09 = 114.09 : x
  2. Step 2: Convert to fraction form
    86.06/114.09 = 114.09/x
  3. Step 3: Cross multiply
    86.06x = 114.09 × 114.09
  4. Step 4: Simplify right side
    86.06x = 13,017.38
  5. Step 5: Solve for x
    x = 13,017.38/86.06
  6. Step 6: Final answer
    x = 151.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.