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Finding the Third Proportional to 296,779 and 699,874

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Solution

The third proportional to 296,779 and 699,874 is: 1,650,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,779 : 699,874 = 699,874 : x
  2. Step 2: Convert to fraction form
    296,779/699,874 = 699,874/x
  3. Step 3: Cross multiply
    296,779x = 699,874 × 699,874
  4. Step 4: Simplify right side
    296,779x = 489,823,615,876
  5. Step 5: Solve for x
    x = 489,823,615,876/296,779
  6. Step 6: Final answer
    x = 1,650,465.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.