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Finding the Third Proportional to 393,767 and 843,469

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Solution

The third proportional to 393,767 and 843,469 is: 1,806,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,767 : 843,469 = 843,469 : x
  2. Step 2: Convert to fraction form
    393,767/843,469 = 843,469/x
  3. Step 3: Cross multiply
    393,767x = 843,469 × 843,469
  4. Step 4: Simplify right side
    393,767x = 711,439,953,961
  5. Step 5: Solve for x
    x = 711,439,953,961/393,767
  6. Step 6: Final answer
    x = 1,806,753.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.