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Finding the Third Proportional to 271,349 and 398,895

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Solution

The third proportional to 271,349 and 398,895 is: 586,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,349 : 398,895 = 398,895 : x
  2. Step 2: Convert to fraction form
    271,349/398,895 = 398,895/x
  3. Step 3: Cross multiply
    271,349x = 398,895 × 398,895
  4. Step 4: Simplify right side
    271,349x = 159,117,221,025
  5. Step 5: Solve for x
    x = 159,117,221,025/271,349
  6. Step 6: Final answer
    x = 586,393.25

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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.