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Finding the Third Proportional to 198,640.13 and 255,046.50

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Solution

The third proportional to 198,640.13 and 255,046.50 is: 327,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,640.13 : 255,046.50 = 255,046.50 : x
  2. Step 2: Convert to fraction form
    198,640.13/255,046.50 = 255,046.50/x
  3. Step 3: Cross multiply
    198,640.13x = 255,046.50 × 255,046.50
  4. Step 4: Simplify right side
    198,640.13x = 65,048,717,162.25
  5. Step 5: Solve for x
    x = 65,048,717,162.25/198,640.13
  6. Step 6: Final answer
    x = 327,470.18

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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.