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Finding the Third Proportional to 80,255 and 122,520

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Solution

The third proportional to 80,255 and 122,520 is: 187,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,255 : 122,520 = 122,520 : x
  2. Step 2: Convert to fraction form
    80,255/122,520 = 122,520/x
  3. Step 3: Cross multiply
    80,255x = 122,520 × 122,520
  4. Step 4: Simplify right side
    80,255x = 15,011,150,400
  5. Step 5: Solve for x
    x = 15,011,150,400/80,255
  6. Step 6: Final answer
    x = 187,043.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.