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Finding the Third Proportional to 361,350 and 778,198

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Solution

The third proportional to 361,350 and 778,198 is: 1,675,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,350 : 778,198 = 778,198 : x
  2. Step 2: Convert to fraction form
    361,350/778,198 = 778,198/x
  3. Step 3: Cross multiply
    361,350x = 778,198 × 778,198
  4. Step 4: Simplify right side
    361,350x = 605,592,127,204
  5. Step 5: Solve for x
    x = 605,592,127,204/361,350
  6. Step 6: Final answer
    x = 1,675,915.67

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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.