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Finding the Third Proportional to 101.67 and 147.81

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Solution

The third proportional to 101.67 and 147.81 is: 214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 147.81 = 147.81 : x
  2. Step 2: Convert to fraction form
    101.67/147.81 = 147.81/x
  3. Step 3: Cross multiply
    101.67x = 147.81 × 147.81
  4. Step 4: Simplify right side
    101.67x = 21,849.11
  5. Step 5: Solve for x
    x = 21,849.11/101.67
  6. Step 6: Final answer
    x = 214.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.