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Finding the Third Proportional to 261,990 and 561,366

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Solution

The third proportional to 261,990 and 561,366 is: 1,202,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,990 : 561,366 = 561,366 : x
  2. Step 2: Convert to fraction form
    261,990/561,366 = 561,366/x
  3. Step 3: Cross multiply
    261,990x = 561,366 × 561,366
  4. Step 4: Simplify right side
    261,990x = 315,131,785,956
  5. Step 5: Solve for x
    x = 315,131,785,956/261,990
  6. Step 6: Final answer
    x = 1,202,838.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.