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Finding the Third Proportional to 178,493 and 375,393

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Solution

The third proportional to 178,493 and 375,393 is: 789,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,493 : 375,393 = 375,393 : x
  2. Step 2: Convert to fraction form
    178,493/375,393 = 375,393/x
  3. Step 3: Cross multiply
    178,493x = 375,393 × 375,393
  4. Step 4: Simplify right side
    178,493x = 140,919,904,449
  5. Step 5: Solve for x
    x = 140,919,904,449/178,493
  6. Step 6: Final answer
    x = 789,498.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.