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Finding the Third Proportional to 271,410 and 415,179

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Solution

The third proportional to 271,410 and 415,179 is: 635,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,410 : 415,179 = 415,179 : x
  2. Step 2: Convert to fraction form
    271,410/415,179 = 415,179/x
  3. Step 3: Cross multiply
    271,410x = 415,179 × 415,179
  4. Step 4: Simplify right side
    271,410x = 172,373,602,041
  5. Step 5: Solve for x
    x = 172,373,602,041/271,410
  6. Step 6: Final answer
    x = 635,104.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.