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Finding the Third Proportional to 82.70 and 121.58

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Solution

The third proportional to 82.70 and 121.58 is: 178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 121.58 = 121.58 : x
  2. Step 2: Convert to fraction form
    82.70/121.58 = 121.58/x
  3. Step 3: Cross multiply
    82.70x = 121.58 × 121.58
  4. Step 4: Simplify right side
    82.70x = 14,781.24
  5. Step 5: Solve for x
    x = 14,781.24/82.70
  6. Step 6: Final answer
    x = 178.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.