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Finding the Third Proportional to 396,972 and 936,342

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Solution

The third proportional to 396,972 and 936,342 is: 2,208,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,972 : 936,342 = 936,342 : x
  2. Step 2: Convert to fraction form
    396,972/936,342 = 936,342/x
  3. Step 3: Cross multiply
    396,972x = 936,342 × 936,342
  4. Step 4: Simplify right side
    396,972x = 876,736,340,964
  5. Step 5: Solve for x
    x = 876,736,340,964/396,972
  6. Step 6: Final answer
    x = 2,208,559.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.