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Finding the Third Proportional to 256,569 and 550,496

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Solution

The third proportional to 256,569 and 550,496 is: 1,181,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,569 : 550,496 = 550,496 : x
  2. Step 2: Convert to fraction form
    256,569/550,496 = 550,496/x
  3. Step 3: Cross multiply
    256,569x = 550,496 × 550,496
  4. Step 4: Simplify right side
    256,569x = 303,045,846,016
  5. Step 5: Solve for x
    x = 303,045,846,016/256,569
  6. Step 6: Final answer
    x = 1,181,147.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.