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Finding the Third Proportional to 80,479 and 127,406

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Solution

The third proportional to 80,479 and 127,406 is: 201,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,479 : 127,406 = 127,406 : x
  2. Step 2: Convert to fraction form
    80,479/127,406 = 127,406/x
  3. Step 3: Cross multiply
    80,479x = 127,406 × 127,406
  4. Step 4: Simplify right side
    80,479x = 16,232,288,836
  5. Step 5: Solve for x
    x = 16,232,288,836/80,479
  6. Step 6: Final answer
    x = 201,695.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.