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Finding the Third Proportional to 87.70 and 191.62

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Solution

The third proportional to 87.70 and 191.62 is: 418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.70 : 191.62 = 191.62 : x
  2. Step 2: Convert to fraction form
    87.70/191.62 = 191.62/x
  3. Step 3: Cross multiply
    87.70x = 191.62 × 191.62
  4. Step 4: Simplify right side
    87.70x = 36,716.74
  5. Step 5: Solve for x
    x = 36,716.74/87.70
  6. Step 6: Final answer
    x = 418.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.