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Finding the Third Proportional to 306,702 and 667,404

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Solution

The third proportional to 306,702 and 667,404 is: 1,452,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,702 : 667,404 = 667,404 : x
  2. Step 2: Convert to fraction form
    306,702/667,404 = 667,404/x
  3. Step 3: Cross multiply
    306,702x = 667,404 × 667,404
  4. Step 4: Simplify right side
    306,702x = 445,428,099,216
  5. Step 5: Solve for x
    x = 445,428,099,216/306,702
  6. Step 6: Final answer
    x = 1,452,315.60

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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.