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Finding the Third Proportional to 172,287 and 378,522

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Solution

The third proportional to 172,287 and 378,522 is: 831,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287 : 378,522 = 378,522 : x
  2. Step 2: Convert to fraction form
    172,287/378,522 = 378,522/x
  3. Step 3: Cross multiply
    172,287x = 378,522 × 378,522
  4. Step 4: Simplify right side
    172,287x = 143,278,904,484
  5. Step 5: Solve for x
    x = 143,278,904,484/172,287
  6. Step 6: Final answer
    x = 831,629.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.