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Finding the Third Proportional to 271,056 and 418,872

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Solution

The third proportional to 271,056 and 418,872 is: 647,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,056 : 418,872 = 418,872 : x
  2. Step 2: Convert to fraction form
    271,056/418,872 = 418,872/x
  3. Step 3: Cross multiply
    271,056x = 418,872 × 418,872
  4. Step 4: Simplify right side
    271,056x = 175,453,752,384
  5. Step 5: Solve for x
    x = 175,453,752,384/271,056
  6. Step 6: Final answer
    x = 647,297.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.