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Finding the Third Proportional to 60.82 and 79.06

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Solution

The third proportional to 60.82 and 79.06 is: 102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.82 : 79.06 = 79.06 : x
  2. Step 2: Convert to fraction form
    60.82/79.06 = 79.06/x
  3. Step 3: Cross multiply
    60.82x = 79.06 × 79.06
  4. Step 4: Simplify right side
    60.82x = 6,251.14
  5. Step 5: Solve for x
    x = 6,251.14/60.82
  6. Step 6: Final answer
    x = 102.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.