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Finding the Third Proportional to 29 and 62.88

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Solution

The third proportional to 29 and 62.88 is: 136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29 : 62.88 = 62.88 : x
  2. Step 2: Convert to fraction form
    29/62.88 = 62.88/x
  3. Step 3: Cross multiply
    29x = 62.88 × 62.88
  4. Step 4: Simplify right side
    29x = 3,953.27
  5. Step 5: Solve for x
    x = 3,953.27/29
  6. Step 6: Final answer
    x = 136.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.