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Finding the Third Proportional to 80,500 and 127,653

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Solution

The third proportional to 80,500 and 127,653 is: 202,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,500 : 127,653 = 127,653 : x
  2. Step 2: Convert to fraction form
    80,500/127,653 = 127,653/x
  3. Step 3: Cross multiply
    80,500x = 127,653 × 127,653
  4. Step 4: Simplify right side
    80,500x = 16,295,288,409
  5. Step 5: Solve for x
    x = 16,295,288,409/80,500
  6. Step 6: Final answer
    x = 202,425.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.