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Finding the Third Proportional to 49.50 and 84.19

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Solution

The third proportional to 49.50 and 84.19 is: 143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.50 : 84.19 = 84.19 : x
  2. Step 2: Convert to fraction form
    49.50/84.19 = 84.19/x
  3. Step 3: Cross multiply
    49.50x = 84.19 × 84.19
  4. Step 4: Simplify right side
    49.50x = 7,087.54
  5. Step 5: Solve for x
    x = 7,087.54/49.50
  6. Step 6: Final answer
    x = 143.18

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.