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Finding the Third Proportional to 81,978 and 118,479

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Solution

The third proportional to 81,978 and 118,479 is: 171,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978 : 118,479 = 118,479 : x
  2. Step 2: Convert to fraction form
    81,978/118,479 = 118,479/x
  3. Step 3: Cross multiply
    81,978x = 118,479 × 118,479
  4. Step 4: Simplify right side
    81,978x = 14,037,273,441
  5. Step 5: Solve for x
    x = 14,037,273,441/81,978
  6. Step 6: Final answer
    x = 171,232.20

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.