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Finding the Third Proportional to 259,744 and 388,569

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Solution

The third proportional to 259,744 and 388,569 is: 581,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,744 : 388,569 = 388,569 : x
  2. Step 2: Convert to fraction form
    259,744/388,569 = 388,569/x
  3. Step 3: Cross multiply
    259,744x = 388,569 × 388,569
  4. Step 4: Simplify right side
    259,744x = 150,985,867,761
  5. Step 5: Solve for x
    x = 150,985,867,761/259,744
  6. Step 6: Final answer
    x = 581,287.22

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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.