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Finding the Third Proportional to 393,966 and 590,805

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Solution

The third proportional to 393,966 and 590,805 is: 885,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,966 : 590,805 = 590,805 : x
  2. Step 2: Convert to fraction form
    393,966/590,805 = 590,805/x
  3. Step 3: Cross multiply
    393,966x = 590,805 × 590,805
  4. Step 4: Simplify right side
    393,966x = 349,050,548,025
  5. Step 5: Solve for x
    x = 349,050,548,025/393,966
  6. Step 6: Final answer
    x = 885,991.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.