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Finding the Third Proportional to 49.69 and 82.13

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Solution

The third proportional to 49.69 and 82.13 is: 135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.69 : 82.13 = 82.13 : x
  2. Step 2: Convert to fraction form
    49.69/82.13 = 82.13/x
  3. Step 3: Cross multiply
    49.69x = 82.13 × 82.13
  4. Step 4: Simplify right side
    49.69x = 6,744.52
  5. Step 5: Solve for x
    x = 6,744.52/49.69
  6. Step 6: Final answer
    x = 135.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.