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Finding the Third Proportional to 64.13 and 82.69

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Solution

The third proportional to 64.13 and 82.69 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 82.69 = 82.69 : x
  2. Step 2: Convert to fraction form
    64.13/82.69 = 82.69/x
  3. Step 3: Cross multiply
    64.13x = 82.69 × 82.69
  4. Step 4: Simplify right side
    64.13x = 6,837.22
  5. Step 5: Solve for x
    x = 6,837.22/64.13
  6. Step 6: Final answer
    x = 106.62

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.