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Finding the Third Proportional to 394,516 and 558,231

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Solution

The third proportional to 394,516 and 558,231 is: 789,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,516 : 558,231 = 558,231 : x
  2. Step 2: Convert to fraction form
    394,516/558,231 = 558,231/x
  3. Step 3: Cross multiply
    394,516x = 558,231 × 558,231
  4. Step 4: Simplify right side
    394,516x = 311,621,849,361
  5. Step 5: Solve for x
    x = 311,621,849,361/394,516
  6. Step 6: Final answer
    x = 789,883.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.