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Finding the Third Proportional to 398,862 and 598,568

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Solution

The third proportional to 398,862 and 598,568 is: 898,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,862 : 598,568 = 598,568 : x
  2. Step 2: Convert to fraction form
    398,862/598,568 = 598,568/x
  3. Step 3: Cross multiply
    398,862x = 598,568 × 598,568
  4. Step 4: Simplify right side
    398,862x = 358,283,650,624
  5. Step 5: Solve for x
    x = 358,283,650,624/398,862
  6. Step 6: Final answer
    x = 898,264.69

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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.