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Finding the Third Proportional to 326,619 and 699,894

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Solution

The third proportional to 326,619 and 699,894 is: 1,499,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,619 : 699,894 = 699,894 : x
  2. Step 2: Convert to fraction form
    326,619/699,894 = 699,894/x
  3. Step 3: Cross multiply
    326,619x = 699,894 × 699,894
  4. Step 4: Simplify right side
    326,619x = 489,851,611,236
  5. Step 5: Solve for x
    x = 489,851,611,236/326,619
  6. Step 6: Final answer
    x = 1,499,764.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.