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Finding the Third Proportional to 113.25 and 151.44

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Solution

The third proportional to 113.25 and 151.44 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.25 : 151.44 = 151.44 : x
  2. Step 2: Convert to fraction form
    113.25/151.44 = 151.44/x
  3. Step 3: Cross multiply
    113.25x = 151.44 × 151.44
  4. Step 4: Simplify right side
    113.25x = 22,933.32
  5. Step 5: Solve for x
    x = 22,933.32/113.25
  6. Step 6: Final answer
    x = 202.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.