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Finding the Third Proportional to 261,285 and 381,845

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Solution

The third proportional to 261,285 and 381,845 is: 558,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,285 : 381,845 = 381,845 : x
  2. Step 2: Convert to fraction form
    261,285/381,845 = 381,845/x
  3. Step 3: Cross multiply
    261,285x = 381,845 × 381,845
  4. Step 4: Simplify right side
    261,285x = 145,805,604,025
  5. Step 5: Solve for x
    x = 145,805,604,025/261,285
  6. Step 6: Final answer
    x = 558,032.81

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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.