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Finding the Third Proportional to 398,990 and 598,896

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Solution

The third proportional to 398,990 and 598,896 is: 898,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,990 : 598,896 = 598,896 : x
  2. Step 2: Convert to fraction form
    398,990/598,896 = 598,896/x
  3. Step 3: Cross multiply
    398,990x = 598,896 × 598,896
  4. Step 4: Simplify right side
    398,990x = 358,676,418,816
  5. Step 5: Solve for x
    x = 358,676,418,816/398,990
  6. Step 6: Final answer
    x = 898,960.92

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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.