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Finding the Third Proportional to 261,519 and 552,414

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Solution

The third proportional to 261,519 and 552,414 is: 1,166,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,519 : 552,414 = 552,414 : x
  2. Step 2: Convert to fraction form
    261,519/552,414 = 552,414/x
  3. Step 3: Cross multiply
    261,519x = 552,414 × 552,414
  4. Step 4: Simplify right side
    261,519x = 305,161,227,396
  5. Step 5: Solve for x
    x = 305,161,227,396/261,519
  6. Step 6: Final answer
    x = 1,166,879.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.