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Finding the Third Proportional to 84.16 and 174.87

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Solution

The third proportional to 84.16 and 174.87 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 174.87 = 174.87 : x
  2. Step 2: Convert to fraction form
    84.16/174.87 = 174.87/x
  3. Step 3: Cross multiply
    84.16x = 174.87 × 174.87
  4. Step 4: Simplify right side
    84.16x = 30,578.53
  5. Step 5: Solve for x
    x = 30,578.53/84.16
  6. Step 6: Final answer
    x = 363.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.