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Finding the Third Proportional to 412,777 and 843,049

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Solution

The third proportional to 412,777 and 843,049 is: 1,721,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,777 : 843,049 = 843,049 : x
  2. Step 2: Convert to fraction form
    412,777/843,049 = 843,049/x
  3. Step 3: Cross multiply
    412,777x = 843,049 × 843,049
  4. Step 4: Simplify right side
    412,777x = 710,731,616,401
  5. Step 5: Solve for x
    x = 710,731,616,401/412,777
  6. Step 6: Final answer
    x = 1,721,829.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.