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Finding the Third Proportional to 269,871 and 394,437

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Solution

The third proportional to 269,871 and 394,437 is: 576,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,871 : 394,437 = 394,437 : x
  2. Step 2: Convert to fraction form
    269,871/394,437 = 394,437/x
  3. Step 3: Cross multiply
    269,871x = 394,437 × 394,437
  4. Step 4: Simplify right side
    269,871x = 155,580,546,969
  5. Step 5: Solve for x
    x = 155,580,546,969/269,871
  6. Step 6: Final answer
    x = 576,499.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.