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Finding the Third Proportional to 396,964.38 and 859,538.75

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Solution

The third proportional to 396,964.38 and 859,538.75 is: 1,861,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,964.38 : 859,538.75 = 859,538.75 : x
  2. Step 2: Convert to fraction form
    396,964.38/859,538.75 = 859,538.75/x
  3. Step 3: Cross multiply
    396,964.38x = 859,538.75 × 859,538.75
  4. Step 4: Simplify right side
    396,964.38x = 738,806,862,751.56
  5. Step 5: Solve for x
    x = 738,806,862,751.56/396,964.38
  6. Step 6: Final answer
    x = 1,861,141.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.