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Finding the Third Proportional to 199,747.13 and 280,960.88

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Solution

The third proportional to 199,747.13 and 280,960.88 is: 395,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,747.13 : 280,960.88 = 280,960.88 : x
  2. Step 2: Convert to fraction form
    199,747.13/280,960.88 = 280,960.88/x
  3. Step 3: Cross multiply
    199,747.13x = 280,960.88 × 280,960.88
  4. Step 4: Simplify right side
    199,747.13x = 78,939,013,280.77
  5. Step 5: Solve for x
    x = 78,939,013,280.77/199,747.13
  6. Step 6: Final answer
    x = 395,194.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.