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Finding the Third Proportional to 126,200 and 271,840

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Solution

The third proportional to 126,200 and 271,840 is: 585,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,200 : 271,840 = 271,840 : x
  2. Step 2: Convert to fraction form
    126,200/271,840 = 271,840/x
  3. Step 3: Cross multiply
    126,200x = 271,840 × 271,840
  4. Step 4: Simplify right side
    126,200x = 73,896,985,600
  5. Step 5: Solve for x
    x = 73,896,985,600/126,200
  6. Step 6: Final answer
    x = 585,554.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.