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Finding the Third Proportional to 172,191 and 271,491

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Solution

The third proportional to 172,191 and 271,491 is: 428,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,191 : 271,491 = 271,491 : x
  2. Step 2: Convert to fraction form
    172,191/271,491 = 271,491/x
  3. Step 3: Cross multiply
    172,191x = 271,491 × 271,491
  4. Step 4: Simplify right side
    172,191x = 73,707,363,081
  5. Step 5: Solve for x
    x = 73,707,363,081/172,191
  6. Step 6: Final answer
    x = 428,055.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.