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Finding the Third Proportional to 259,743.38 and 388,569.75

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Solution

The third proportional to 259,743.38 and 388,569.75 is: 581,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,743.38 : 388,569.75 = 388,569.75 : x
  2. Step 2: Convert to fraction form
    259,743.38/388,569.75 = 388,569.75/x
  3. Step 3: Cross multiply
    259,743.38x = 388,569.75 × 388,569.75
  4. Step 4: Simplify right side
    259,743.38x = 150,986,450,615.06
  5. Step 5: Solve for x
    x = 150,986,450,615.06/259,743.38
  6. Step 6: Final answer
    x = 581,290.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.