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Finding the Third Proportional to 318,097 and 693,350

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Solution

The third proportional to 318,097 and 693,350 is: 1,511,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,097 : 693,350 = 693,350 : x
  2. Step 2: Convert to fraction form
    318,097/693,350 = 693,350/x
  3. Step 3: Cross multiply
    318,097x = 693,350 × 693,350
  4. Step 4: Simplify right side
    318,097x = 480,734,222,500
  5. Step 5: Solve for x
    x = 480,734,222,500/318,097
  6. Step 6: Final answer
    x = 1,511,281.85

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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.