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Finding the Third Proportional to 80,129.75 and 171,376.75

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Solution

The third proportional to 80,129.75 and 171,376.75 is: 366,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,129.75 : 171,376.75 = 171,376.75 : x
  2. Step 2: Convert to fraction form
    80,129.75/171,376.75 = 171,376.75/x
  3. Step 3: Cross multiply
    80,129.75x = 171,376.75 × 171,376.75
  4. Step 4: Simplify right side
    80,129.75x = 29,369,990,440.56
  5. Step 5: Solve for x
    x = 29,369,990,440.56/80,129.75
  6. Step 6: Final answer
    x = 366,530.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.