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Finding the Third Proportional to 394,995 and 564,450

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Solution

The third proportional to 394,995 and 564,450 is: 806,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,995 : 564,450 = 564,450 : x
  2. Step 2: Convert to fraction form
    394,995/564,450 = 564,450/x
  3. Step 3: Cross multiply
    394,995x = 564,450 × 564,450
  4. Step 4: Simplify right side
    394,995x = 318,603,802,500
  5. Step 5: Solve for x
    x = 318,603,802,500/394,995
  6. Step 6: Final answer
    x = 806,602.12

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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.