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Finding the Third Proportional to 13,122.84 and 20,171.53

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Solution

The third proportional to 13,122.84 and 20,171.53 is: 31,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.84 : 20,171.53 = 20,171.53 : x
  2. Step 2: Convert to fraction form
    13,122.84/20,171.53 = 20,171.53/x
  3. Step 3: Cross multiply
    13,122.84x = 20,171.53 × 20,171.53
  4. Step 4: Simplify right side
    13,122.84x = 406,890,672.97
  5. Step 5: Solve for x
    x = 406,890,672.97/13,122.84
  6. Step 6: Final answer
    x = 31,006.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.