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Finding the Third Proportional to 259,156 and 396,986.75

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Solution

The third proportional to 259,156 and 396,986.75 is: 608,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,156 : 396,986.75 = 396,986.75 : x
  2. Step 2: Convert to fraction form
    259,156/396,986.75 = 396,986.75/x
  3. Step 3: Cross multiply
    259,156x = 396,986.75 × 396,986.75
  4. Step 4: Simplify right side
    259,156x = 157,598,479,675.56
  5. Step 5: Solve for x
    x = 157,598,479,675.56/259,156
  6. Step 6: Final answer
    x = 608,122.06

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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.