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Finding the Third Proportional to 82,306.75 and 111,790.75

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Solution

The third proportional to 82,306.75 and 111,790.75 is: 151,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,306.75 : 111,790.75 = 111,790.75 : x
  2. Step 2: Convert to fraction form
    82,306.75/111,790.75 = 111,790.75/x
  3. Step 3: Cross multiply
    82,306.75x = 111,790.75 × 111,790.75
  4. Step 4: Simplify right side
    82,306.75x = 12,497,171,785.56
  5. Step 5: Solve for x
    x = 12,497,171,785.56/82,306.75
  6. Step 6: Final answer
    x = 151,836.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.