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Finding the Third Proportional to 394,646 and 558,435

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Solution

The third proportional to 394,646 and 558,435 is: 790,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,646 : 558,435 = 558,435 : x
  2. Step 2: Convert to fraction form
    394,646/558,435 = 558,435/x
  3. Step 3: Cross multiply
    394,646x = 558,435 × 558,435
  4. Step 4: Simplify right side
    394,646x = 311,849,649,225
  5. Step 5: Solve for x
    x = 311,849,649,225/394,646
  6. Step 6: Final answer
    x = 790,200.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.