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Finding the Third Proportional to 172,228 and 378,536

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Solution

The third proportional to 172,228 and 378,536 is: 831,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,228 : 378,536 = 378,536 : x
  2. Step 2: Convert to fraction form
    172,228/378,536 = 378,536/x
  3. Step 3: Cross multiply
    172,228x = 378,536 × 378,536
  4. Step 4: Simplify right side
    172,228x = 143,289,503,296
  5. Step 5: Solve for x
    x = 143,289,503,296/172,228
  6. Step 6: Final answer
    x = 831,975.66

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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.