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Finding the Third Proportional to 398,632 and 617,874

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Solution

The third proportional to 398,632 and 617,874 is: 957,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,632 : 617,874 = 617,874 : x
  2. Step 2: Convert to fraction form
    398,632/617,874 = 617,874/x
  3. Step 3: Cross multiply
    398,632x = 617,874 × 617,874
  4. Step 4: Simplify right side
    398,632x = 381,768,279,876
  5. Step 5: Solve for x
    x = 381,768,279,876/398,632
  6. Step 6: Final answer
    x = 957,696.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.