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Finding the Third Proportional to 13,662 and 31,843.13

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Solution

The third proportional to 13,662 and 31,843.13 is: 74,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662 : 31,843.13 = 31,843.13 : x
  2. Step 2: Convert to fraction form
    13,662/31,843.13 = 31,843.13/x
  3. Step 3: Cross multiply
    13,662x = 31,843.13 × 31,843.13
  4. Step 4: Simplify right side
    13,662x = 1,013,984,609.77
  5. Step 5: Solve for x
    x = 1,013,984,609.77/13,662
  6. Step 6: Final answer
    x = 74,219.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.