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Finding the Third Proportional to 103.36 and 151.45

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Solution

The third proportional to 103.36 and 151.45 is: 221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.36 : 151.45 = 151.45 : x
  2. Step 2: Convert to fraction form
    103.36/151.45 = 151.45/x
  3. Step 3: Cross multiply
    103.36x = 151.45 × 151.45
  4. Step 4: Simplify right side
    103.36x = 22,938.05
  5. Step 5: Solve for x
    x = 22,938.05/103.36
  6. Step 6: Final answer
    x = 221.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.