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Finding the Third Proportional to 396,051.75 and 851,811.75

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Solution

The third proportional to 396,051.75 and 851,811.75 is: 1,832,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,051.75 : 851,811.75 = 851,811.75 : x
  2. Step 2: Convert to fraction form
    396,051.75/851,811.75 = 851,811.75/x
  3. Step 3: Cross multiply
    396,051.75x = 851,811.75 × 851,811.75
  4. Step 4: Simplify right side
    396,051.75x = 725,583,257,438.06
  5. Step 5: Solve for x
    x = 725,583,257,438.06/396,051.75
  6. Step 6: Final answer
    x = 1,832,041.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.