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Finding the Third Proportional to 259,912.69 and 325,351.69

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Solution

The third proportional to 259,912.69 and 325,351.69 is: 407,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,912.69 : 325,351.69 = 325,351.69 : x
  2. Step 2: Convert to fraction form
    259,912.69/325,351.69 = 325,351.69/x
  3. Step 3: Cross multiply
    259,912.69x = 325,351.69 × 325,351.69
  4. Step 4: Simplify right side
    259,912.69x = 105,853,720,559.10
  5. Step 5: Solve for x
    x = 105,853,720,559.10/259,912.69
  6. Step 6: Final answer
    x = 407,266.46

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.