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Finding the Third Proportional to 396,354 and 871,440

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Solution

The third proportional to 396,354 and 871,440 is: 1,915,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,354 : 871,440 = 871,440 : x
  2. Step 2: Convert to fraction form
    396,354/871,440 = 871,440/x
  3. Step 3: Cross multiply
    396,354x = 871,440 × 871,440
  4. Step 4: Simplify right side
    396,354x = 759,407,673,600
  5. Step 5: Solve for x
    x = 759,407,673,600/396,354
  6. Step 6: Final answer
    x = 1,915,983.37

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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.