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Finding the Third Proportional to 261,631 and 563,195

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Solution

The third proportional to 261,631 and 563,195 is: 1,212,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,631 : 563,195 = 563,195 : x
  2. Step 2: Convert to fraction form
    261,631/563,195 = 563,195/x
  3. Step 3: Cross multiply
    261,631x = 563,195 × 563,195
  4. Step 4: Simplify right side
    261,631x = 317,188,608,025
  5. Step 5: Solve for x
    x = 317,188,608,025/261,631
  6. Step 6: Final answer
    x = 1,212,351.01

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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.