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Finding the Third Proportional to 398,898 and 598,626

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Solution

The third proportional to 398,898 and 598,626 is: 898,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,898 : 598,626 = 598,626 : x
  2. Step 2: Convert to fraction form
    398,898/598,626 = 598,626/x
  3. Step 3: Cross multiply
    398,898x = 598,626 × 598,626
  4. Step 4: Simplify right side
    398,898x = 358,353,087,876
  5. Step 5: Solve for x
    x = 358,353,087,876/398,898
  6. Step 6: Final answer
    x = 898,357.70

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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.