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Finding the Third Proportional to 318,831 and 673,650

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Solution

The third proportional to 318,831 and 673,650 is: 1,423,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,831 : 673,650 = 673,650 : x
  2. Step 2: Convert to fraction form
    318,831/673,650 = 673,650/x
  3. Step 3: Cross multiply
    318,831x = 673,650 × 673,650
  4. Step 4: Simplify right side
    318,831x = 453,804,322,500
  5. Step 5: Solve for x
    x = 453,804,322,500/318,831
  6. Step 6: Final answer
    x = 1,423,338.14

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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.