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Finding the Third Proportional to 259,723.13 and 398,950.31

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Solution

The third proportional to 259,723.13 and 398,950.31 is: 612,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,723.13 : 398,950.31 = 398,950.31 : x
  2. Step 2: Convert to fraction form
    259,723.13/398,950.31 = 398,950.31/x
  3. Step 3: Cross multiply
    259,723.13x = 398,950.31 × 398,950.31
  4. Step 4: Simplify right side
    259,723.13x = 159,161,351,843.85
  5. Step 5: Solve for x
    x = 159,161,351,843.85/259,723.13
  6. Step 6: Final answer
    x = 612,811.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.