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Finding the Third Proportional to 396,872 and 872,760

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Solution

The third proportional to 396,872 and 872,760 is: 1,919,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,872 : 872,760 = 872,760 : x
  2. Step 2: Convert to fraction form
    396,872/872,760 = 872,760/x
  3. Step 3: Cross multiply
    396,872x = 872,760 × 872,760
  4. Step 4: Simplify right side
    396,872x = 761,710,017,600
  5. Step 5: Solve for x
    x = 761,710,017,600/396,872
  6. Step 6: Final answer
    x = 1,919,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.