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Finding the Third Proportional to 112.13 and 243.88

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Solution

The third proportional to 112.13 and 243.88 is: 530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 243.88 = 243.88 : x
  2. Step 2: Convert to fraction form
    112.13/243.88 = 243.88/x
  3. Step 3: Cross multiply
    112.13x = 243.88 × 243.88
  4. Step 4: Simplify right side
    112.13x = 59,475.02
  5. Step 5: Solve for x
    x = 59,475.02/112.13
  6. Step 6: Final answer
    x = 530.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.