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Finding the Third Proportional to 62.92 and 128.84

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Solution

The third proportional to 62.92 and 128.84 is: 263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.92 : 128.84 = 128.84 : x
  2. Step 2: Convert to fraction form
    62.92/128.84 = 128.84/x
  3. Step 3: Cross multiply
    62.92x = 128.84 × 128.84
  4. Step 4: Simplify right side
    62.92x = 16,600.71
  5. Step 5: Solve for x
    x = 16,600.71/62.92
  6. Step 6: Final answer
    x = 263.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.