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Finding the Third Proportional to 259,372.13 and 396,928.69

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Solution

The third proportional to 259,372.13 and 396,928.69 is: 607,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,372.13 : 396,928.69 = 396,928.69 : x
  2. Step 2: Convert to fraction form
    259,372.13/396,928.69 = 396,928.69/x
  3. Step 3: Cross multiply
    259,372.13x = 396,928.69 × 396,928.69
  4. Step 4: Simplify right side
    259,372.13x = 157,552,382,960.47
  5. Step 5: Solve for x
    x = 157,552,382,960.47/259,372.13
  6. Step 6: Final answer
    x = 607,437.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.