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Finding the Third Proportional to 398,960 and 598,839

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Solution

The third proportional to 398,960 and 598,839 is: 898,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,960 : 598,839 = 598,839 : x
  2. Step 2: Convert to fraction form
    398,960/598,839 = 598,839/x
  3. Step 3: Cross multiply
    398,960x = 598,839 × 598,839
  4. Step 4: Simplify right side
    398,960x = 358,608,147,921
  5. Step 5: Solve for x
    x = 358,608,147,921/398,960
  6. Step 6: Final answer
    x = 898,857.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.