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Finding the Third Proportional to 42.84 and 90.66

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Solution

The third proportional to 42.84 and 90.66 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 90.66 = 90.66 : x
  2. Step 2: Convert to fraction form
    42.84/90.66 = 90.66/x
  3. Step 3: Cross multiply
    42.84x = 90.66 × 90.66
  4. Step 4: Simplify right side
    42.84x = 8,218.56
  5. Step 5: Solve for x
    x = 8,218.56/42.84
  6. Step 6: Final answer
    x = 191.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.