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Finding the Third Proportional to 318,876 and 699,952

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Solution

The third proportional to 318,876 and 699,952 is: 1,536,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,876 : 699,952 = 699,952 : x
  2. Step 2: Convert to fraction form
    318,876/699,952 = 699,952/x
  3. Step 3: Cross multiply
    318,876x = 699,952 × 699,952
  4. Step 4: Simplify right side
    318,876x = 489,932,802,304
  5. Step 5: Solve for x
    x = 489,932,802,304/318,876
  6. Step 6: Final answer
    x = 1,536,436.74

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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.