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Finding the Third Proportional to 394,947 and 564,381

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Solution

The third proportional to 394,947 and 564,381 is: 806,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,947 : 564,381 = 564,381 : x
  2. Step 2: Convert to fraction form
    394,947/564,381 = 564,381/x
  3. Step 3: Cross multiply
    394,947x = 564,381 × 564,381
  4. Step 4: Simplify right side
    394,947x = 318,525,913,161
  5. Step 5: Solve for x
    x = 318,525,913,161/394,947
  6. Step 6: Final answer
    x = 806,502.93

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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.