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Finding the Third Proportional to 8,371.13 and 12,591.56

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Solution

The third proportional to 8,371.13 and 12,591.56 is: 18,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.13 : 12,591.56 = 12,591.56 : x
  2. Step 2: Convert to fraction form
    8,371.13/12,591.56 = 12,591.56/x
  3. Step 3: Cross multiply
    8,371.13x = 12,591.56 × 12,591.56
  4. Step 4: Simplify right side
    8,371.13x = 158,547,446.19
  5. Step 5: Solve for x
    x = 158,547,446.19/8,371.13
  6. Step 6: Final answer
    x = 18,939.80

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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.