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Finding the Third Proportional to 38.99 and 83.34

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Solution

The third proportional to 38.99 and 83.34 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.99 : 83.34 = 83.34 : x
  2. Step 2: Convert to fraction form
    38.99/83.34 = 83.34/x
  3. Step 3: Cross multiply
    38.99x = 83.34 × 83.34
  4. Step 4: Simplify right side
    38.99x = 6,945.20
  5. Step 5: Solve for x
    x = 6,945.20/38.99
  6. Step 6: Final answer
    x = 178.14

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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.