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Finding the Third Proportional to 394,892 and 564,305

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Solution

The third proportional to 394,892 and 564,305 is: 806,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,892 : 564,305 = 564,305 : x
  2. Step 2: Convert to fraction form
    394,892/564,305 = 564,305/x
  3. Step 3: Cross multiply
    394,892x = 564,305 × 564,305
  4. Step 4: Simplify right side
    394,892x = 318,440,133,025
  5. Step 5: Solve for x
    x = 318,440,133,025/394,892
  6. Step 6: Final answer
    x = 806,398.04

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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.