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Finding the Third Proportional to 396,348 and 871,428

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Solution

The third proportional to 396,348 and 871,428 is: 1,915,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,348 : 871,428 = 871,428 : x
  2. Step 2: Convert to fraction form
    396,348/871,428 = 871,428/x
  3. Step 3: Cross multiply
    396,348x = 871,428 × 871,428
  4. Step 4: Simplify right side
    396,348x = 759,386,759,184
  5. Step 5: Solve for x
    x = 759,386,759,184/396,348
  6. Step 6: Final answer
    x = 1,915,959.61

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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.