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Finding the Third Proportional to 271,874 and 419,931

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Solution

The third proportional to 271,874 and 419,931 is: 648,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,874 : 419,931 = 419,931 : x
  2. Step 2: Convert to fraction form
    271,874/419,931 = 419,931/x
  3. Step 3: Cross multiply
    271,874x = 419,931 × 419,931
  4. Step 4: Simplify right side
    271,874x = 176,342,044,761
  5. Step 5: Solve for x
    x = 176,342,044,761/271,874
  6. Step 6: Final answer
    x = 648,616.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.