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Finding the Third Proportional to 261,981 and 394,497

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Solution

The third proportional to 261,981 and 394,497 is: 594,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,981 : 394,497 = 394,497 : x
  2. Step 2: Convert to fraction form
    261,981/394,497 = 394,497/x
  3. Step 3: Cross multiply
    261,981x = 394,497 × 394,497
  4. Step 4: Simplify right side
    261,981x = 155,627,883,009
  5. Step 5: Solve for x
    x = 155,627,883,009/261,981
  6. Step 6: Final answer
    x = 594,042.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.