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Finding the Third Proportional to 86.70 and 117.39

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Solution

The third proportional to 86.70 and 117.39 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.70 : 117.39 = 117.39 : x
  2. Step 2: Convert to fraction form
    86.70/117.39 = 117.39/x
  3. Step 3: Cross multiply
    86.70x = 117.39 × 117.39
  4. Step 4: Simplify right side
    86.70x = 13,779.64
  5. Step 5: Solve for x
    x = 13,779.64/86.70
  6. Step 6: Final answer
    x = 158.94

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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.