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Finding the Third Proportional to 1,120.13 and 2,431.97

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Solution

The third proportional to 1,120.13 and 2,431.97 is: 5,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.13 : 2,431.97 = 2,431.97 : x
  2. Step 2: Convert to fraction form
    1,120.13/2,431.97 = 2,431.97/x
  3. Step 3: Cross multiply
    1,120.13x = 2,431.97 × 2,431.97
  4. Step 4: Simplify right side
    1,120.13x = 5,914,472.00
  5. Step 5: Solve for x
    x = 5,914,472.00/1,120.13
  6. Step 6: Final answer
    x = 5,280.19

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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.