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Finding the Third Proportional to 10,217.81 and 13,731.19

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Solution

The third proportional to 10,217.81 and 13,731.19 is: 18,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.81 : 13,731.19 = 13,731.19 : x
  2. Step 2: Convert to fraction form
    10,217.81/13,731.19 = 13,731.19/x
  3. Step 3: Cross multiply
    10,217.81x = 13,731.19 × 13,731.19
  4. Step 4: Simplify right side
    10,217.81x = 188,545,510.16
  5. Step 5: Solve for x
    x = 188,545,510.16/10,217.81
  6. Step 6: Final answer
    x = 18,452.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.