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Finding the Third Proportional to 132,378 and 199,785

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Solution

The third proportional to 132,378 and 199,785 is: 301,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,378 : 199,785 = 199,785 : x
  2. Step 2: Convert to fraction form
    132,378/199,785 = 199,785/x
  3. Step 3: Cross multiply
    132,378x = 199,785 × 199,785
  4. Step 4: Simplify right side
    132,378x = 39,914,046,225
  5. Step 5: Solve for x
    x = 39,914,046,225/132,378
  6. Step 6: Final answer
    x = 301,515.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.