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Finding the Third Proportional to 12,253.78 and 18,331.95

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Solution

The third proportional to 12,253.78 and 18,331.95 is: 27,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.78 : 18,331.95 = 18,331.95 : x
  2. Step 2: Convert to fraction form
    12,253.78/18,331.95 = 18,331.95/x
  3. Step 3: Cross multiply
    12,253.78x = 18,331.95 × 18,331.95
  4. Step 4: Simplify right side
    12,253.78x = 336,060,218.94
  5. Step 5: Solve for x
    x = 336,060,218.94/12,253.78
  6. Step 6: Final answer
    x = 27,425.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.