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Finding the Third Proportional to 105 and 151.48

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Solution

The third proportional to 105 and 151.48 is: 218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 151.48 = 151.48 : x
  2. Step 2: Convert to fraction form
    105/151.48 = 151.48/x
  3. Step 3: Cross multiply
    105x = 151.48 × 151.48
  4. Step 4: Simplify right side
    105x = 22,945.15
  5. Step 5: Solve for x
    x = 22,945.15/105
  6. Step 6: Final answer
    x = 218.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.