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Finding the Third Proportional to 396,012 and 525,117

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Solution

The third proportional to 396,012 and 525,117 is: 696,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,012 : 525,117 = 525,117 : x
  2. Step 2: Convert to fraction form
    396,012/525,117 = 525,117/x
  3. Step 3: Cross multiply
    396,012x = 525,117 × 525,117
  4. Step 4: Simplify right side
    396,012x = 275,747,863,689
  5. Step 5: Solve for x
    x = 275,747,863,689/396,012
  6. Step 6: Final answer
    x = 696,311.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.