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Finding the Third Proportional to 306,846 and 669,474

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Solution

The third proportional to 306,846 and 669,474 is: 1,460,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,846 : 669,474 = 669,474 : x
  2. Step 2: Convert to fraction form
    306,846/669,474 = 669,474/x
  3. Step 3: Cross multiply
    306,846x = 669,474 × 669,474
  4. Step 4: Simplify right side
    306,846x = 448,195,436,676
  5. Step 5: Solve for x
    x = 448,195,436,676/306,846
  6. Step 6: Final answer
    x = 1,460,652.69

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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.