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Finding the Third Proportional to 396,672 and 871,716

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Solution

The third proportional to 396,672 and 871,716 is: 1,915,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,672 : 871,716 = 871,716 : x
  2. Step 2: Convert to fraction form
    396,672/871,716 = 871,716/x
  3. Step 3: Cross multiply
    396,672x = 871,716 × 871,716
  4. Step 4: Simplify right side
    396,672x = 759,888,784,656
  5. Step 5: Solve for x
    x = 759,888,784,656/396,672
  6. Step 6: Final answer
    x = 1,915,660.25

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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.