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Finding the Third Proportional to 398,864 and 598,571

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Solution

The third proportional to 398,864 and 598,571 is: 898,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,864 : 598,571 = 598,571 : x
  2. Step 2: Convert to fraction form
    398,864/598,571 = 598,571/x
  3. Step 3: Cross multiply
    398,864x = 598,571 × 598,571
  4. Step 4: Simplify right side
    398,864x = 358,287,242,041
  5. Step 5: Solve for x
    x = 358,287,242,041/398,864
  6. Step 6: Final answer
    x = 898,269.19

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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.