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Finding the Third Proportional to 112.43 and 243.95

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Solution

The third proportional to 112.43 and 243.95 is: 529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.43 : 243.95 = 243.95 : x
  2. Step 2: Convert to fraction form
    112.43/243.95 = 243.95/x
  3. Step 3: Cross multiply
    112.43x = 243.95 × 243.95
  4. Step 4: Simplify right side
    112.43x = 59,511.22
  5. Step 5: Solve for x
    x = 59,511.22/112.43
  6. Step 6: Final answer
    x = 529.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.