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Finding the Third Proportional to 260,568 and 389,317

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Solution

The third proportional to 260,568 and 389,317 is: 581,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,568 : 389,317 = 389,317 : x
  2. Step 2: Convert to fraction form
    260,568/389,317 = 389,317/x
  3. Step 3: Cross multiply
    260,568x = 389,317 × 389,317
  4. Step 4: Simplify right side
    260,568x = 151,567,726,489
  5. Step 5: Solve for x
    x = 151,567,726,489/260,568
  6. Step 6: Final answer
    x = 581,682.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.