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Finding the Third Proportional to 76.89 and 89.70

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Solution

The third proportional to 76.89 and 89.70 is: 104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.89 : 89.70 = 89.70 : x
  2. Step 2: Convert to fraction form
    76.89/89.70 = 89.70/x
  3. Step 3: Cross multiply
    76.89x = 89.70 × 89.70
  4. Step 4: Simplify right side
    76.89x = 8,046.30
  5. Step 5: Solve for x
    x = 8,046.30/76.89
  6. Step 6: Final answer
    x = 104.65

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.