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Finding the Third Proportional to 394,772 and 585,354

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Solution

The third proportional to 394,772 and 585,354 is: 867,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,772 : 585,354 = 585,354 : x
  2. Step 2: Convert to fraction form
    394,772/585,354 = 585,354/x
  3. Step 3: Cross multiply
    394,772x = 585,354 × 585,354
  4. Step 4: Simplify right side
    394,772x = 342,639,305,316
  5. Step 5: Solve for x
    x = 342,639,305,316/394,772
  6. Step 6: Final answer
    x = 867,942.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.