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Finding the Third Proportional to 13,726.13 and 20,805.19

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Solution

The third proportional to 13,726.13 and 20,805.19 is: 31,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.13 : 20,805.19 = 20,805.19 : x
  2. Step 2: Convert to fraction form
    13,726.13/20,805.19 = 20,805.19/x
  3. Step 3: Cross multiply
    13,726.13x = 20,805.19 × 20,805.19
  4. Step 4: Simplify right side
    13,726.13x = 432,855,826.91
  5. Step 5: Solve for x
    x = 432,855,826.91/13,726.13
  6. Step 6: Final answer
    x = 31,535.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.