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Finding the Third Proportional to 394,526 and 558,246

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Solution

The third proportional to 394,526 and 558,246 is: 789,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,526 : 558,246 = 558,246 : x
  2. Step 2: Convert to fraction form
    394,526/558,246 = 558,246/x
  3. Step 3: Cross multiply
    394,526x = 558,246 × 558,246
  4. Step 4: Simplify right side
    394,526x = 311,638,596,516
  5. Step 5: Solve for x
    x = 311,638,596,516/394,526
  6. Step 6: Final answer
    x = 789,906.36

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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.