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Finding the Third Proportional to 13,780.13 and 20,963.81

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Solution

The third proportional to 13,780.13 and 20,963.81 is: 31,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 20,963.81 = 20,963.81 : x
  2. Step 2: Convert to fraction form
    13,780.13/20,963.81 = 20,963.81/x
  3. Step 3: Cross multiply
    13,780.13x = 20,963.81 × 20,963.81
  4. Step 4: Simplify right side
    13,780.13x = 439,481,434.54
  5. Step 5: Solve for x
    x = 439,481,434.54/13,780.13
  6. Step 6: Final answer
    x = 31,892.41

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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.