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Finding the Third Proportional to 38.34 and 82.17

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Solution

The third proportional to 38.34 and 82.17 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.34 : 82.17 = 82.17 : x
  2. Step 2: Convert to fraction form
    38.34/82.17 = 82.17/x
  3. Step 3: Cross multiply
    38.34x = 82.17 × 82.17
  4. Step 4: Simplify right side
    38.34x = 6,752.22
  5. Step 5: Solve for x
    x = 6,752.22/38.34
  6. Step 6: Final answer
    x = 176.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.