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Finding the Third Proportional to 59.80 and 76.89

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Solution

The third proportional to 59.80 and 76.89 is: 98.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.80 : 76.89 = 76.89 : x
  2. Step 2: Convert to fraction form
    59.80/76.89 = 76.89/x
  3. Step 3: Cross multiply
    59.80x = 76.89 × 76.89
  4. Step 4: Simplify right side
    59.80x = 5,911.57
  5. Step 5: Solve for x
    x = 5,911.57/59.80
  6. Step 6: Final answer
    x = 98.85

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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.