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Finding the Third Proportional to 126,449 and 195,781

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Solution

The third proportional to 126,449 and 195,781 is: 303,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,449 : 195,781 = 195,781 : x
  2. Step 2: Convert to fraction form
    126,449/195,781 = 195,781/x
  3. Step 3: Cross multiply
    126,449x = 195,781 × 195,781
  4. Step 4: Simplify right side
    126,449x = 38,330,199,961
  5. Step 5: Solve for x
    x = 38,330,199,961/126,449
  6. Step 6: Final answer
    x = 303,127.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.