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Finding the Third Proportional to 80,970.75 and 126,738

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Solution

The third proportional to 80,970.75 and 126,738 is: 198,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970.75 : 126,738 = 126,738 : x
  2. Step 2: Convert to fraction form
    80,970.75/126,738 = 126,738/x
  3. Step 3: Cross multiply
    80,970.75x = 126,738 × 126,738
  4. Step 4: Simplify right side
    80,970.75x = 16,062,520,644
  5. Step 5: Solve for x
    x = 16,062,520,644/80,970.75
  6. Step 6: Final answer
    x = 198,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.