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Finding the Third Proportional to 271,354 and 398,906

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Solution

The third proportional to 271,354 and 398,906 is: 586,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,354 : 398,906 = 398,906 : x
  2. Step 2: Convert to fraction form
    271,354/398,906 = 398,906/x
  3. Step 3: Cross multiply
    271,354x = 398,906 × 398,906
  4. Step 4: Simplify right side
    271,354x = 159,125,996,836
  5. Step 5: Solve for x
    x = 159,125,996,836/271,354
  6. Step 6: Final answer
    x = 586,414.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.