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Finding the Third Proportional to 112.51 and 151.20

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Solution

The third proportional to 112.51 and 151.20 is: 203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.51 : 151.20 = 151.20 : x
  2. Step 2: Convert to fraction form
    112.51/151.20 = 151.20/x
  3. Step 3: Cross multiply
    112.51x = 151.20 × 151.20
  4. Step 4: Simplify right side
    112.51x = 22,862.24
  5. Step 5: Solve for x
    x = 22,862.24/112.51
  6. Step 6: Final answer
    x = 203.20

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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.