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Finding the Third Proportional to 318,195 and 686,205

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Solution

The third proportional to 318,195 and 686,205 is: 1,479,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,195 : 686,205 = 686,205 : x
  2. Step 2: Convert to fraction form
    318,195/686,205 = 686,205/x
  3. Step 3: Cross multiply
    318,195x = 686,205 × 686,205
  4. Step 4: Simplify right side
    318,195x = 470,877,302,025
  5. Step 5: Solve for x
    x = 470,877,302,025/318,195
  6. Step 6: Final answer
    x = 1,479,838.78

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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.