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Finding the Third Proportional to 396,403.50 and 612,102

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Solution

The third proportional to 396,403.50 and 612,102 is: 945,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,403.50 : 612,102 = 612,102 : x
  2. Step 2: Convert to fraction form
    396,403.50/612,102 = 612,102/x
  3. Step 3: Cross multiply
    396,403.50x = 612,102 × 612,102
  4. Step 4: Simplify right side
    396,403.50x = 374,668,858,404
  5. Step 5: Solve for x
    x = 374,668,858,404/396,403.50
  6. Step 6: Final answer
    x = 945,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.