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Finding the Third Proportional to 86.62 and 117.07

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Solution

The third proportional to 86.62 and 117.07 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.62 : 117.07 = 117.07 : x
  2. Step 2: Convert to fraction form
    86.62/117.07 = 117.07/x
  3. Step 3: Cross multiply
    86.62x = 117.07 × 117.07
  4. Step 4: Simplify right side
    86.62x = 13,705.46
  5. Step 5: Solve for x
    x = 13,705.46/86.62
  6. Step 6: Final answer
    x = 158.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.