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Finding the Third Proportional to 12,732.19 and 18,837.56

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Solution

The third proportional to 12,732.19 and 18,837.56 is: 27,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.19 : 18,837.56 = 18,837.56 : x
  2. Step 2: Convert to fraction form
    12,732.19/18,837.56 = 18,837.56/x
  3. Step 3: Cross multiply
    12,732.19x = 18,837.56 × 18,837.56
  4. Step 4: Simplify right side
    12,732.19x = 354,853,760.94
  5. Step 5: Solve for x
    x = 354,853,760.94/12,732.19
  6. Step 6: Final answer
    x = 27,870.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.