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Finding the Third Proportional to 394,534.50 and 558,258.75

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Solution

The third proportional to 394,534.50 and 558,258.75 is: 789,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,534.50 : 558,258.75 = 558,258.75 : x
  2. Step 2: Convert to fraction form
    394,534.50/558,258.75 = 558,258.75/x
  3. Step 3: Cross multiply
    394,534.50x = 558,258.75 × 558,258.75
  4. Step 4: Simplify right side
    394,534.50x = 311,652,831,951.56
  5. Step 5: Solve for x
    x = 311,652,831,951.56/394,534.50
  6. Step 6: Final answer
    x = 789,925.42

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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.