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Finding the Third Proportional to 393,437 and 844,213

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Solution

The third proportional to 393,437 and 844,213 is: 1,811,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,437 : 844,213 = 844,213 : x
  2. Step 2: Convert to fraction form
    393,437/844,213 = 844,213/x
  3. Step 3: Cross multiply
    393,437x = 844,213 × 844,213
  4. Step 4: Simplify right side
    393,437x = 712,695,589,369
  5. Step 5: Solve for x
    x = 712,695,589,369/393,437
  6. Step 6: Final answer
    x = 1,811,460.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.