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Finding the Third Proportional to 112.15 and 180.07

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Solution

The third proportional to 112.15 and 180.07 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.15 : 180.07 = 180.07 : x
  2. Step 2: Convert to fraction form
    112.15/180.07 = 180.07/x
  3. Step 3: Cross multiply
    112.15x = 180.07 × 180.07
  4. Step 4: Simplify right side
    112.15x = 32,425.32
  5. Step 5: Solve for x
    x = 32,425.32/112.15
  6. Step 6: Final answer
    x = 289.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.