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Finding the Third Proportional to 7,785.38 and 11,759.06

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Solution

The third proportional to 7,785.38 and 11,759.06 is: 17,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.38 : 11,759.06 = 11,759.06 : x
  2. Step 2: Convert to fraction form
    7,785.38/11,759.06 = 11,759.06/x
  3. Step 3: Cross multiply
    7,785.38x = 11,759.06 × 11,759.06
  4. Step 4: Simplify right side
    7,785.38x = 138,275,550.88
  5. Step 5: Solve for x
    x = 138,275,550.88/7,785.38
  6. Step 6: Final answer
    x = 17,760.94

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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.