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Finding the Third Proportional to 12,871.41 and 18,720.49

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Solution

The third proportional to 12,871.41 and 18,720.49 is: 27,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.41 : 18,720.49 = 18,720.49 : x
  2. Step 2: Convert to fraction form
    12,871.41/18,720.49 = 18,720.49/x
  3. Step 3: Cross multiply
    12,871.41x = 18,720.49 × 18,720.49
  4. Step 4: Simplify right side
    12,871.41x = 350,456,827.74
  5. Step 5: Solve for x
    x = 350,456,827.74/12,871.41
  6. Step 6: Final answer
    x = 27,227.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.