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Finding the Third Proportional to 352,133 and 686,626

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Solution

The third proportional to 352,133 and 686,626 is: 1,338,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,133 : 686,626 = 686,626 : x
  2. Step 2: Convert to fraction form
    352,133/686,626 = 686,626/x
  3. Step 3: Cross multiply
    352,133x = 686,626 × 686,626
  4. Step 4: Simplify right side
    352,133x = 471,455,263,876
  5. Step 5: Solve for x
    x = 471,455,263,876/352,133
  6. Step 6: Final answer
    x = 1,338,855.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.