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Finding the Third Proportional to 103.73 and 151.08

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Solution

The third proportional to 103.73 and 151.08 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.73 : 151.08 = 151.08 : x
  2. Step 2: Convert to fraction form
    103.73/151.08 = 151.08/x
  3. Step 3: Cross multiply
    103.73x = 151.08 × 151.08
  4. Step 4: Simplify right side
    103.73x = 22,824.60
  5. Step 5: Solve for x
    x = 22,824.60/103.73
  6. Step 6: Final answer
    x = 220.03

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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.