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Finding the Third Proportional to 180,733.50 and 396,930

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Solution

The third proportional to 180,733.50 and 396,930 is: 871,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,733.50 : 396,930 = 396,930 : x
  2. Step 2: Convert to fraction form
    180,733.50/396,930 = 396,930/x
  3. Step 3: Cross multiply
    180,733.50x = 396,930 × 396,930
  4. Step 4: Simplify right side
    180,733.50x = 157,553,424,900
  5. Step 5: Solve for x
    x = 157,553,424,900/180,733.50
  6. Step 6: Final answer
    x = 871,744.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.