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Finding the Third Proportional to 77.84 and 83.21

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Solution

The third proportional to 77.84 and 83.21 is: 88.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 83.21 = 83.21 : x
  2. Step 2: Convert to fraction form
    77.84/83.21 = 83.21/x
  3. Step 3: Cross multiply
    77.84x = 83.21 × 83.21
  4. Step 4: Simplify right side
    77.84x = 6,924.71
  5. Step 5: Solve for x
    x = 6,924.71/77.84
  6. Step 6: Final answer
    x = 88.97

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.