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Finding the Third Proportional to 132,978 and 284,635

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Solution

The third proportional to 132,978 and 284,635 is: 609,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,978 : 284,635 = 284,635 : x
  2. Step 2: Convert to fraction form
    132,978/284,635 = 284,635/x
  3. Step 3: Cross multiply
    132,978x = 284,635 × 284,635
  4. Step 4: Simplify right side
    132,978x = 81,017,083,225
  5. Step 5: Solve for x
    x = 81,017,083,225/132,978
  6. Step 6: Final answer
    x = 609,251.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.