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Finding the Third Proportional to 112.51 and 124.68

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Solution

The third proportional to 112.51 and 124.68 is: 138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.51 : 124.68 = 124.68 : x
  2. Step 2: Convert to fraction form
    112.51/124.68 = 124.68/x
  3. Step 3: Cross multiply
    112.51x = 124.68 × 124.68
  4. Step 4: Simplify right side
    112.51x = 15,544.63
  5. Step 5: Solve for x
    x = 15,544.63/112.51
  6. Step 6: Final answer
    x = 138.16

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.