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Finding the Third Proportional to 84 and 144.38

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Solution

The third proportional to 84 and 144.38 is: 248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 144.38 = 144.38 : x
  2. Step 2: Convert to fraction form
    84/144.38 = 144.38/x
  3. Step 3: Cross multiply
    84x = 144.38 × 144.38
  4. Step 4: Simplify right side
    84x = 20,844.14
  5. Step 5: Solve for x
    x = 20,844.14/84
  6. Step 6: Final answer
    x = 248.14

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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.