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Finding the Third Proportional to 263,200 and 578,872

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Solution

The third proportional to 263,200 and 578,872 is: 1,273,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,200 : 578,872 = 578,872 : x
  2. Step 2: Convert to fraction form
    263,200/578,872 = 578,872/x
  3. Step 3: Cross multiply
    263,200x = 578,872 × 578,872
  4. Step 4: Simplify right side
    263,200x = 335,092,792,384
  5. Step 5: Solve for x
    x = 335,092,792,384/263,200
  6. Step 6: Final answer
    x = 1,273,148.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.