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Finding the Third Proportional to 263,515 and 578,249

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Solution

The third proportional to 263,515 and 578,249 is: 1,268,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,515 : 578,249 = 578,249 : x
  2. Step 2: Convert to fraction form
    263,515/578,249 = 578,249/x
  3. Step 3: Cross multiply
    263,515x = 578,249 × 578,249
  4. Step 4: Simplify right side
    263,515x = 334,371,906,001
  5. Step 5: Solve for x
    x = 334,371,906,001/263,515
  6. Step 6: Final answer
    x = 1,268,891.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.