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Finding the Third Proportional to 215,944.50 and 338,718.75

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Solution

The third proportional to 215,944.50 and 338,718.75 is: 531,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,944.50 : 338,718.75 = 338,718.75 : x
  2. Step 2: Convert to fraction form
    215,944.50/338,718.75 = 338,718.75/x
  3. Step 3: Cross multiply
    215,944.50x = 338,718.75 × 338,718.75
  4. Step 4: Simplify right side
    215,944.50x = 114,730,391,601.56
  5. Step 5: Solve for x
    x = 114,730,391,601.56/215,944.50
  6. Step 6: Final answer
    x = 531,295.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.