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Finding the Third Proportional to 396,828 and 598,820

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Solution

The third proportional to 396,828 and 598,820 is: 903,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,828 : 598,820 = 598,820 : x
  2. Step 2: Convert to fraction form
    396,828/598,820 = 598,820/x
  3. Step 3: Cross multiply
    396,828x = 598,820 × 598,820
  4. Step 4: Simplify right side
    396,828x = 358,585,392,400
  5. Step 5: Solve for x
    x = 358,585,392,400/396,828
  6. Step 6: Final answer
    x = 903,629.26

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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.