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Finding the Third Proportional to 481,518 and 644,193

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Solution

The third proportional to 481,518 and 644,193 is: 861,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,518 : 644,193 = 644,193 : x
  2. Step 2: Convert to fraction form
    481,518/644,193 = 644,193/x
  3. Step 3: Cross multiply
    481,518x = 644,193 × 644,193
  4. Step 4: Simplify right side
    481,518x = 414,984,621,249
  5. Step 5: Solve for x
    x = 414,984,621,249/481,518
  6. Step 6: Final answer
    x = 861,825.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.