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Finding the Third Proportional to 394,969.50 and 564,414.75

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Solution

The third proportional to 394,969.50 and 564,414.75 is: 806,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,969.50 : 564,414.75 = 564,414.75 : x
  2. Step 2: Convert to fraction form
    394,969.50/564,414.75 = 564,414.75/x
  3. Step 3: Cross multiply
    394,969.50x = 564,414.75 × 564,414.75
  4. Step 4: Simplify right side
    394,969.50x = 318,564,010,017.56
  5. Step 5: Solve for x
    x = 318,564,010,017.56/394,969.50
  6. Step 6: Final answer
    x = 806,553.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.