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Finding the Third Proportional to 394,952.50 and 578,369.50

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Solution

The third proportional to 394,952.50 and 578,369.50 is: 846,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,952.50 : 578,369.50 = 578,369.50 : x
  2. Step 2: Convert to fraction form
    394,952.50/578,369.50 = 578,369.50/x
  3. Step 3: Cross multiply
    394,952.50x = 578,369.50 × 578,369.50
  4. Step 4: Simplify right side
    394,952.50x = 334,511,278,530.25
  5. Step 5: Solve for x
    x = 334,511,278,530.25/394,952.50
  6. Step 6: Final answer
    x = 846,965.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.