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Finding the Third Proportional to 112.31 and 239.81

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Solution

The third proportional to 112.31 and 239.81 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.31 : 239.81 = 239.81 : x
  2. Step 2: Convert to fraction form
    112.31/239.81 = 239.81/x
  3. Step 3: Cross multiply
    112.31x = 239.81 × 239.81
  4. Step 4: Simplify right side
    112.31x = 57,510.04
  5. Step 5: Solve for x
    x = 57,510.04/112.31
  6. Step 6: Final answer
    x = 512.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.