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Finding the Third Proportional to 811,208 and 1,215,579

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Solution

The third proportional to 811,208 and 1,215,579 is: 1,821,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,208 : 1,215,579 = 1,215,579 : x
  2. Step 2: Convert to fraction form
    811,208/1,215,579 = 1,215,579/x
  3. Step 3: Cross multiply
    811,208x = 1,215,579 × 1,215,579
  4. Step 4: Simplify right side
    811,208x = 1,477,632,305,241
  5. Step 5: Solve for x
    x = 1,477,632,305,241/811,208
  6. Step 6: Final answer
    x = 1,821,520.87

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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.