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Finding the Third Proportional to 121,878 and 271,760

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Solution

The third proportional to 121,878 and 271,760 is: 605,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,878 : 271,760 = 271,760 : x
  2. Step 2: Convert to fraction form
    121,878/271,760 = 271,760/x
  3. Step 3: Cross multiply
    121,878x = 271,760 × 271,760
  4. Step 4: Simplify right side
    121,878x = 73,853,497,600
  5. Step 5: Solve for x
    x = 73,853,497,600/121,878
  6. Step 6: Final answer
    x = 605,962.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.