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Finding the Third Proportional to 261,986 and 394,505

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Solution

The third proportional to 261,986 and 394,505 is: 594,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,986 : 394,505 = 394,505 : x
  2. Step 2: Convert to fraction form
    261,986/394,505 = 394,505/x
  3. Step 3: Cross multiply
    261,986x = 394,505 × 394,505
  4. Step 4: Simplify right side
    261,986x = 155,634,195,025
  5. Step 5: Solve for x
    x = 155,634,195,025/261,986
  6. Step 6: Final answer
    x = 594,055.39

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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.