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Finding the Third Proportional to 62.19 and 136.84

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Solution

The third proportional to 62.19 and 136.84 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.19 : 136.84 = 136.84 : x
  2. Step 2: Convert to fraction form
    62.19/136.84 = 136.84/x
  3. Step 3: Cross multiply
    62.19x = 136.84 × 136.84
  4. Step 4: Simplify right side
    62.19x = 18,726.21
  5. Step 5: Solve for x
    x = 18,726.21/62.19
  6. Step 6: Final answer
    x = 301.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.