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Finding the Third Proportional to 81,840 and 126,378

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Solution

The third proportional to 81,840 and 126,378 is: 195,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840 : 126,378 = 126,378 : x
  2. Step 2: Convert to fraction form
    81,840/126,378 = 126,378/x
  3. Step 3: Cross multiply
    81,840x = 126,378 × 126,378
  4. Step 4: Simplify right side
    81,840x = 15,971,398,884
  5. Step 5: Solve for x
    x = 15,971,398,884/81,840
  6. Step 6: Final answer
    x = 195,153.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.