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Finding the Third Proportional to 259,854 and 388,722

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Solution

The third proportional to 259,854 and 388,722 is: 581,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,854 : 388,722 = 388,722 : x
  2. Step 2: Convert to fraction form
    259,854/388,722 = 388,722/x
  3. Step 3: Cross multiply
    259,854x = 388,722 × 388,722
  4. Step 4: Simplify right side
    259,854x = 151,104,793,284
  5. Step 5: Solve for x
    x = 151,104,793,284/259,854
  6. Step 6: Final answer
    x = 581,498.82

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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.