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Finding the Third Proportional to 396,215 and 857,007

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Solution

The third proportional to 396,215 and 857,007 is: 1,853,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,215 : 857,007 = 857,007 : x
  2. Step 2: Convert to fraction form
    396,215/857,007 = 857,007/x
  3. Step 3: Cross multiply
    396,215x = 857,007 × 857,007
  4. Step 4: Simplify right side
    396,215x = 734,460,998,049
  5. Step 5: Solve for x
    x = 734,460,998,049/396,215
  6. Step 6: Final answer
    x = 1,853,693.07

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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.