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Finding the Third Proportional to 28.84 and 62.92

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Solution

The third proportional to 28.84 and 62.92 is: 137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.84 : 62.92 = 62.92 : x
  2. Step 2: Convert to fraction form
    28.84/62.92 = 62.92/x
  3. Step 3: Cross multiply
    28.84x = 62.92 × 62.92
  4. Step 4: Simplify right side
    28.84x = 3,959.16
  5. Step 5: Solve for x
    x = 3,959.16/28.84
  6. Step 6: Final answer
    x = 137.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.