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Finding the Third Proportional to 103.20 and 151.14

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Solution

The third proportional to 103.20 and 151.14 is: 221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 151.14 = 151.14 : x
  2. Step 2: Convert to fraction form
    103.20/151.14 = 151.14/x
  3. Step 3: Cross multiply
    103.20x = 151.14 × 151.14
  4. Step 4: Simplify right side
    103.20x = 22,842.31
  5. Step 5: Solve for x
    x = 22,842.31/103.20
  6. Step 6: Final answer
    x = 221.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.