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Finding the Third Proportional to 398,910 and 598,647

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Solution

The third proportional to 398,910 and 598,647 is: 898,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,910 : 598,647 = 598,647 : x
  2. Step 2: Convert to fraction form
    398,910/598,647 = 598,647/x
  3. Step 3: Cross multiply
    398,910x = 598,647 × 598,647
  4. Step 4: Simplify right side
    398,910x = 358,378,230,609
  5. Step 5: Solve for x
    x = 358,378,230,609/398,910
  6. Step 6: Final answer
    x = 898,393.70

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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.