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Finding the Third Proportional to 172,976 and 376,245

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Solution

The third proportional to 172,976 and 376,245 is: 818,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,976 : 376,245 = 376,245 : x
  2. Step 2: Convert to fraction form
    172,976/376,245 = 376,245/x
  3. Step 3: Cross multiply
    172,976x = 376,245 × 376,245
  4. Step 4: Simplify right side
    172,976x = 141,560,300,025
  5. Step 5: Solve for x
    x = 141,560,300,025/172,976
  6. Step 6: Final answer
    x = 818,381.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.