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Finding the Third Proportional to 259,743 and 388,570

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Solution

The third proportional to 259,743 and 388,570 is: 581,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,743 : 388,570 = 388,570 : x
  2. Step 2: Convert to fraction form
    259,743/388,570 = 388,570/x
  3. Step 3: Cross multiply
    259,743x = 388,570 × 388,570
  4. Step 4: Simplify right side
    259,743x = 150,986,644,900
  5. Step 5: Solve for x
    x = 150,986,644,900/259,743
  6. Step 6: Final answer
    x = 581,292.45

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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.