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Finding the Third Proportional to 318,742 and 686,662

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Solution

The third proportional to 318,742 and 686,662 is: 1,479,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,742 : 686,662 = 686,662 : x
  2. Step 2: Convert to fraction form
    318,742/686,662 = 686,662/x
  3. Step 3: Cross multiply
    318,742x = 686,662 × 686,662
  4. Step 4: Simplify right side
    318,742x = 471,504,702,244
  5. Step 5: Solve for x
    x = 471,504,702,244/318,742
  6. Step 6: Final answer
    x = 1,479,267.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.