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Finding the Third Proportional to 81,648 and 119,672

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Solution

The third proportional to 81,648 and 119,672 is: 175,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648 : 119,672 = 119,672 : x
  2. Step 2: Convert to fraction form
    81,648/119,672 = 119,672/x
  3. Step 3: Cross multiply
    81,648x = 119,672 × 119,672
  4. Step 4: Simplify right side
    81,648x = 14,321,387,584
  5. Step 5: Solve for x
    x = 14,321,387,584/81,648
  6. Step 6: Final answer
    x = 175,404.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.