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Finding the Third Proportional to 271,917 and 420,175

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Solution

The third proportional to 271,917 and 420,175 is: 649,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,917 : 420,175 = 420,175 : x
  2. Step 2: Convert to fraction form
    271,917/420,175 = 420,175/x
  3. Step 3: Cross multiply
    271,917x = 420,175 × 420,175
  4. Step 4: Simplify right side
    271,917x = 176,547,030,625
  5. Step 5: Solve for x
    x = 176,547,030,625/271,917
  6. Step 6: Final answer
    x = 649,268.09

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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.