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Finding the Third Proportional to 261,729 and 394,782

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Solution

The third proportional to 261,729 and 394,782 is: 595,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,729 : 394,782 = 394,782 : x
  2. Step 2: Convert to fraction form
    261,729/394,782 = 394,782/x
  3. Step 3: Cross multiply
    261,729x = 394,782 × 394,782
  4. Step 4: Simplify right side
    261,729x = 155,852,827,524
  5. Step 5: Solve for x
    x = 155,852,827,524/261,729
  6. Step 6: Final answer
    x = 595,474.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.