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Finding the Third Proportional to 160,978 and 351,872

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Solution

The third proportional to 160,978 and 351,872 is: 769,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978 : 351,872 = 351,872 : x
  2. Step 2: Convert to fraction form
    160,978/351,872 = 351,872/x
  3. Step 3: Cross multiply
    160,978x = 351,872 × 351,872
  4. Step 4: Simplify right side
    160,978x = 123,813,904,384
  5. Step 5: Solve for x
    x = 123,813,904,384/160,978
  6. Step 6: Final answer
    x = 769,135.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.