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Finding the Third Proportional to 317,322 and 667,368

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Solution

The third proportional to 317,322 and 667,368 is: 1,403,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,322 : 667,368 = 667,368 : x
  2. Step 2: Convert to fraction form
    317,322/667,368 = 667,368/x
  3. Step 3: Cross multiply
    317,322x = 667,368 × 667,368
  4. Step 4: Simplify right side
    317,322x = 445,380,047,424
  5. Step 5: Solve for x
    x = 445,380,047,424/317,322
  6. Step 6: Final answer
    x = 1,403,558.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.