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Finding the Third Proportional to 809,163 and 1,215,819

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Solution

The third proportional to 809,163 and 1,215,819 is: 1,826,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,163 : 1,215,819 = 1,215,819 : x
  2. Step 2: Convert to fraction form
    809,163/1,215,819 = 1,215,819/x
  3. Step 3: Cross multiply
    809,163x = 1,215,819 × 1,215,819
  4. Step 4: Simplify right side
    809,163x = 1,478,215,840,761
  5. Step 5: Solve for x
    x = 1,478,215,840,761/809,163
  6. Step 6: Final answer
    x = 1,826,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.