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Finding the Third Proportional to 39.66 and 101.67

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Solution

The third proportional to 39.66 and 101.67 is: 260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 101.67 = 101.67 : x
  2. Step 2: Convert to fraction form
    39.66/101.67 = 101.67/x
  3. Step 3: Cross multiply
    39.66x = 101.67 × 101.67
  4. Step 4: Simplify right side
    39.66x = 10,337.17
  5. Step 5: Solve for x
    x = 10,337.17/39.66
  6. Step 6: Final answer
    x = 260.67

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.