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Finding the Third Proportional to 396,900 and 598,995

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Solution

The third proportional to 396,900 and 598,995 is: 903,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,900 : 598,995 = 598,995 : x
  2. Step 2: Convert to fraction form
    396,900/598,995 = 598,995/x
  3. Step 3: Cross multiply
    396,900x = 598,995 × 598,995
  4. Step 4: Simplify right side
    396,900x = 358,795,010,025
  5. Step 5: Solve for x
    x = 358,795,010,025/396,900
  6. Step 6: Final answer
    x = 903,993.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.