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Finding the Third Proportional to 318,244 and 693,296

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Solution

The third proportional to 318,244 and 693,296 is: 1,510,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,244 : 693,296 = 693,296 : x
  2. Step 2: Convert to fraction form
    318,244/693,296 = 693,296/x
  3. Step 3: Cross multiply
    318,244x = 693,296 × 693,296
  4. Step 4: Simplify right side
    318,244x = 480,659,343,616
  5. Step 5: Solve for x
    x = 480,659,343,616/318,244
  6. Step 6: Final answer
    x = 1,510,348.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.