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Finding the Third Proportional to 396,979 and 845,164

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Solution

The third proportional to 396,979 and 845,164 is: 1,799,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,979 : 845,164 = 845,164 : x
  2. Step 2: Convert to fraction form
    396,979/845,164 = 845,164/x
  3. Step 3: Cross multiply
    396,979x = 845,164 × 845,164
  4. Step 4: Simplify right side
    396,979x = 714,302,186,896
  5. Step 5: Solve for x
    x = 714,302,186,896/396,979
  6. Step 6: Final answer
    x = 1,799,345.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.