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Finding the Third Proportional to 5,309,079 and 8,198,321

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Solution

The third proportional to 5,309,079 and 8,198,321 is: 12,659,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309,079 : 8,198,321 = 8,198,321 : x
  2. Step 2: Convert to fraction form
    5,309,079/8,198,321 = 8,198,321/x
  3. Step 3: Cross multiply
    5,309,079x = 8,198,321 × 8,198,321
  4. Step 4: Simplify right side
    5,309,079x = 67,212,467,219,041
  5. Step 5: Solve for x
    x = 67,212,467,219,041/5,309,079
  6. Step 6: Final answer
    x = 12,659,910.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.