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Finding the Third Proportional to 173,121.38 and 260,821.13

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Solution

The third proportional to 173,121.38 and 260,821.13 is: 392,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,121.38 : 260,821.13 = 260,821.13 : x
  2. Step 2: Convert to fraction form
    173,121.38/260,821.13 = 260,821.13/x
  3. Step 3: Cross multiply
    173,121.38x = 260,821.13 × 260,821.13
  4. Step 4: Simplify right side
    173,121.38x = 68,027,659,246.27
  5. Step 5: Solve for x
    x = 68,027,659,246.27/173,121.38
  6. Step 6: Final answer
    x = 392,947.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.