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Finding the Third Proportional to 132,378.50 and 199,785.75

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Solution

The third proportional to 132,378.50 and 199,785.75 is: 301,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,378.50 : 199,785.75 = 199,785.75 : x
  2. Step 2: Convert to fraction form
    132,378.50/199,785.75 = 199,785.75/x
  3. Step 3: Cross multiply
    132,378.50x = 199,785.75 × 199,785.75
  4. Step 4: Simplify right side
    132,378.50x = 39,914,345,903.06
  5. Step 5: Solve for x
    x = 39,914,345,903.06/132,378.50
  6. Step 6: Final answer
    x = 301,516.83

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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.