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Finding the Third Proportional to 82.69 and 121.08

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Solution

The third proportional to 82.69 and 121.08 is: 177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 121.08 = 121.08 : x
  2. Step 2: Convert to fraction form
    82.69/121.08 = 121.08/x
  3. Step 3: Cross multiply
    82.69x = 121.08 × 121.08
  4. Step 4: Simplify right side
    82.69x = 14,659.91
  5. Step 5: Solve for x
    x = 14,659.91/82.69
  6. Step 6: Final answer
    x = 177.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.