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Finding the Third Proportional to 121,843.50 and 271,702.88

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Solution

The third proportional to 121,843.50 and 271,702.88 is: 605,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,843.50 : 271,702.88 = 271,702.88 : x
  2. Step 2: Convert to fraction form
    121,843.50/271,702.88 = 271,702.88/x
  3. Step 3: Cross multiply
    121,843.50x = 271,702.88 × 271,702.88
  4. Step 4: Simplify right side
    121,843.50x = 73,822,452,283.27
  5. Step 5: Solve for x
    x = 73,822,452,283.27/121,843.50
  6. Step 6: Final answer
    x = 605,879.28

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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.