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Finding the Third Proportional to 318,190 and 686,172

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Solution

The third proportional to 318,190 and 686,172 is: 1,479,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,190 : 686,172 = 686,172 : x
  2. Step 2: Convert to fraction form
    318,190/686,172 = 686,172/x
  3. Step 3: Cross multiply
    318,190x = 686,172 × 686,172
  4. Step 4: Simplify right side
    318,190x = 470,832,013,584
  5. Step 5: Solve for x
    x = 470,832,013,584/318,190
  6. Step 6: Final answer
    x = 1,479,719.71

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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.