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Finding the Third Proportional to 82.31 and 121.13

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Solution

The third proportional to 82.31 and 121.13 is: 178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 121.13 = 121.13 : x
  2. Step 2: Convert to fraction form
    82.31/121.13 = 121.13/x
  3. Step 3: Cross multiply
    82.31x = 121.13 × 121.13
  4. Step 4: Simplify right side
    82.31x = 14,671.27
  5. Step 5: Solve for x
    x = 14,671.27/82.31
  6. Step 6: Final answer
    x = 178.24

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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.