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Finding the Third Proportional to 112.66 and 242.19

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Solution

The third proportional to 112.66 and 242.19 is: 520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.66 : 242.19 = 242.19 : x
  2. Step 2: Convert to fraction form
    112.66/242.19 = 242.19/x
  3. Step 3: Cross multiply
    112.66x = 242.19 × 242.19
  4. Step 4: Simplify right side
    112.66x = 58,656.68
  5. Step 5: Solve for x
    x = 58,656.68/112.66
  6. Step 6: Final answer
    x = 520.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.