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Finding the Third Proportional to 50.84 and 87.23

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Solution

The third proportional to 50.84 and 87.23 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 87.23 = 87.23 : x
  2. Step 2: Convert to fraction form
    50.84/87.23 = 87.23/x
  3. Step 3: Cross multiply
    50.84x = 87.23 × 87.23
  4. Step 4: Simplify right side
    50.84x = 7,609.84
  5. Step 5: Solve for x
    x = 7,609.84/50.84
  6. Step 6: Final answer
    x = 149.67

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.