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Finding the Third Proportional to 259,221.75 and 396,726

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Solution

The third proportional to 259,221.75 and 396,726 is: 607,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,221.75 : 396,726 = 396,726 : x
  2. Step 2: Convert to fraction form
    259,221.75/396,726 = 396,726/x
  3. Step 3: Cross multiply
    259,221.75x = 396,726 × 396,726
  4. Step 4: Simplify right side
    259,221.75x = 157,391,519,076
  5. Step 5: Solve for x
    x = 157,391,519,076/259,221.75
  6. Step 6: Final answer
    x = 607,169.42

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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.