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Finding the Third Proportional to 374,161 and 820,759

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Solution

The third proportional to 374,161 and 820,759 is: 1,800,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,161 : 820,759 = 820,759 : x
  2. Step 2: Convert to fraction form
    374,161/820,759 = 820,759/x
  3. Step 3: Cross multiply
    374,161x = 820,759 × 820,759
  4. Step 4: Simplify right side
    374,161x = 673,645,336,081
  5. Step 5: Solve for x
    x = 673,645,336,081/374,161
  6. Step 6: Final answer
    x = 1,800,415.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.