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Finding the Third Proportional to 396,880 and 869,760

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Solution

The third proportional to 396,880 and 869,760 is: 1,906,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,880 : 869,760 = 869,760 : x
  2. Step 2: Convert to fraction form
    396,880/869,760 = 869,760/x
  3. Step 3: Cross multiply
    396,880x = 869,760 × 869,760
  4. Step 4: Simplify right side
    396,880x = 756,482,457,600
  5. Step 5: Solve for x
    x = 756,482,457,600/396,880
  6. Step 6: Final answer
    x = 1,906,073.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.