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Finding the Third Proportional to 76.17 and 118.06

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Solution

The third proportional to 76.17 and 118.06 is: 182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 118.06 = 118.06 : x
  2. Step 2: Convert to fraction form
    76.17/118.06 = 118.06/x
  3. Step 3: Cross multiply
    76.17x = 118.06 × 118.06
  4. Step 4: Simplify right side
    76.17x = 13,937.95
  5. Step 5: Solve for x
    x = 13,937.95/76.17
  6. Step 6: Final answer
    x = 182.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.