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Finding the Third Proportional to 396,297 and 857,231

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Solution

The third proportional to 396,297 and 857,231 is: 1,854,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,297 : 857,231 = 857,231 : x
  2. Step 2: Convert to fraction form
    396,297/857,231 = 857,231/x
  3. Step 3: Cross multiply
    396,297x = 857,231 × 857,231
  4. Step 4: Simplify right side
    396,297x = 734,844,987,361
  5. Step 5: Solve for x
    x = 734,844,987,361/396,297
  6. Step 6: Final answer
    x = 1,854,278.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.