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Finding the Third Proportional to 198,640.13 and 255,048.75

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Solution

The third proportional to 198,640.13 and 255,048.75 is: 327,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,640.13 : 255,048.75 = 255,048.75 : x
  2. Step 2: Convert to fraction form
    198,640.13/255,048.75 = 255,048.75/x
  3. Step 3: Cross multiply
    198,640.13x = 255,048.75 × 255,048.75
  4. Step 4: Simplify right side
    198,640.13x = 65,049,864,876.56
  5. Step 5: Solve for x
    x = 65,049,864,876.56/198,640.13
  6. Step 6: Final answer
    x = 327,475.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.