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Finding the Third Proportional to 396,365 and 857,308

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Solution

The third proportional to 396,365 and 857,308 is: 1,854,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,365 : 857,308 = 857,308 : x
  2. Step 2: Convert to fraction form
    396,365/857,308 = 857,308/x
  3. Step 3: Cross multiply
    396,365x = 857,308 × 857,308
  4. Step 4: Simplify right side
    396,365x = 734,977,006,864
  5. Step 5: Solve for x
    x = 734,977,006,864/396,365
  6. Step 6: Final answer
    x = 1,854,293.41

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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.