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Finding the Third Proportional to 398,857 and 598,562

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Solution

The third proportional to 398,857 and 598,562 is: 898,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,857 : 598,562 = 598,562 : x
  2. Step 2: Convert to fraction form
    398,857/598,562 = 598,562/x
  3. Step 3: Cross multiply
    398,857x = 598,562 × 598,562
  4. Step 4: Simplify right side
    398,857x = 358,276,467,844
  5. Step 5: Solve for x
    x = 358,276,467,844/398,857
  6. Step 6: Final answer
    x = 898,257.94

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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.