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Finding the Third Proportional to 261,275 and 381,831

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Solution

The third proportional to 261,275 and 381,831 is: 558,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,275 : 381,831 = 381,831 : x
  2. Step 2: Convert to fraction form
    261,275/381,831 = 381,831/x
  3. Step 3: Cross multiply
    261,275x = 381,831 × 381,831
  4. Step 4: Simplify right side
    261,275x = 145,794,912,561
  5. Step 5: Solve for x
    x = 145,794,912,561/261,275
  6. Step 6: Final answer
    x = 558,013.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.