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Finding the Third Proportional to 393,435 and 844,209

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Solution

The third proportional to 393,435 and 844,209 is: 1,811,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,435 : 844,209 = 844,209 : x
  2. Step 2: Convert to fraction form
    393,435/844,209 = 844,209/x
  3. Step 3: Cross multiply
    393,435x = 844,209 × 844,209
  4. Step 4: Simplify right side
    393,435x = 712,688,835,681
  5. Step 5: Solve for x
    x = 712,688,835,681/393,435
  6. Step 6: Final answer
    x = 1,811,452.55

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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.