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Finding the Third Proportional to 394,915 and 564,333

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Solution

The third proportional to 394,915 and 564,333 is: 806,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,915 : 564,333 = 564,333 : x
  2. Step 2: Convert to fraction form
    394,915/564,333 = 564,333/x
  3. Step 3: Cross multiply
    394,915x = 564,333 × 564,333
  4. Step 4: Simplify right side
    394,915x = 318,471,734,889
  5. Step 5: Solve for x
    x = 318,471,734,889/394,915
  6. Step 6: Final answer
    x = 806,431.09

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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.