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Finding the Third Proportional to 62.65 and 134.47

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Solution

The third proportional to 62.65 and 134.47 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 134.47 = 134.47 : x
  2. Step 2: Convert to fraction form
    62.65/134.47 = 134.47/x
  3. Step 3: Cross multiply
    62.65x = 134.47 × 134.47
  4. Step 4: Simplify right side
    62.65x = 18,082.90
  5. Step 5: Solve for x
    x = 18,082.90/62.65
  6. Step 6: Final answer
    x = 288.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.