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Finding the Third Proportional to 396,620 and 871,972

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Solution

The third proportional to 396,620 and 871,972 is: 1,917,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,620 : 871,972 = 871,972 : x
  2. Step 2: Convert to fraction form
    396,620/871,972 = 871,972/x
  3. Step 3: Cross multiply
    396,620x = 871,972 × 871,972
  4. Step 4: Simplify right side
    396,620x = 760,335,168,784
  5. Step 5: Solve for x
    x = 760,335,168,784/396,620
  6. Step 6: Final answer
    x = 1,917,036.88

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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.