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Finding the Third Proportional to 12,170.88 and 21,101.13

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Solution

The third proportional to 12,170.88 and 21,101.13 is: 36,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.88 : 21,101.13 = 21,101.13 : x
  2. Step 2: Convert to fraction form
    12,170.88/21,101.13 = 21,101.13/x
  3. Step 3: Cross multiply
    12,170.88x = 21,101.13 × 21,101.13
  4. Step 4: Simplify right side
    12,170.88x = 445,257,805.97
  5. Step 5: Solve for x
    x = 445,257,805.97/12,170.88
  6. Step 6: Final answer
    x = 36,583.85

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.