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Finding the Third Proportional to 13,902.75 and 20,974.13

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Solution

The third proportional to 13,902.75 and 20,974.13 is: 31,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.75 : 20,974.13 = 20,974.13 : x
  2. Step 2: Convert to fraction form
    13,902.75/20,974.13 = 20,974.13/x
  3. Step 3: Cross multiply
    13,902.75x = 20,974.13 × 20,974.13
  4. Step 4: Simplify right side
    13,902.75x = 439,913,919.52
  5. Step 5: Solve for x
    x = 439,913,919.52/13,902.75
  6. Step 6: Final answer
    x = 31,642.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.