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Finding the Third Proportional to 39.09 and 83.67

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Solution

The third proportional to 39.09 and 83.67 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.09 : 83.67 = 83.67 : x
  2. Step 2: Convert to fraction form
    39.09/83.67 = 83.67/x
  3. Step 3: Cross multiply
    39.09x = 83.67 × 83.67
  4. Step 4: Simplify right side
    39.09x = 7,000.98
  5. Step 5: Solve for x
    x = 7,000.98/39.09
  6. Step 6: Final answer
    x = 179.08

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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.