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Finding the Third Proportional to 394,265 and 617,678

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Solution

The third proportional to 394,265 and 617,678 is: 967,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,265 : 617,678 = 617,678 : x
  2. Step 2: Convert to fraction form
    394,265/617,678 = 617,678/x
  3. Step 3: Cross multiply
    394,265x = 617,678 × 617,678
  4. Step 4: Simplify right side
    394,265x = 381,526,111,684
  5. Step 5: Solve for x
    x = 381,526,111,684/394,265
  6. Step 6: Final answer
    x = 967,689.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.