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Finding the Third Proportional to 316,254 and 667,806

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Solution

The third proportional to 316,254 and 667,806 is: 1,410,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,254 : 667,806 = 667,806 : x
  2. Step 2: Convert to fraction form
    316,254/667,806 = 667,806/x
  3. Step 3: Cross multiply
    316,254x = 667,806 × 667,806
  4. Step 4: Simplify right side
    316,254x = 445,964,853,636
  5. Step 5: Solve for x
    x = 445,964,853,636/316,254
  6. Step 6: Final answer
    x = 1,410,147.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.