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Finding the Third Proportional to 318,198 and 686,208

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Solution

The third proportional to 318,198 and 686,208 is: 1,479,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,198 : 686,208 = 686,208 : x
  2. Step 2: Convert to fraction form
    318,198/686,208 = 686,208/x
  3. Step 3: Cross multiply
    318,198x = 686,208 × 686,208
  4. Step 4: Simplify right side
    318,198x = 470,881,419,264
  5. Step 5: Solve for x
    x = 470,881,419,264/318,198
  6. Step 6: Final answer
    x = 1,479,837.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.