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Finding the Third Proportional to 78,862 and 119,932

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Solution

The third proportional to 78,862 and 119,932 is: 182,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862 : 119,932 = 119,932 : x
  2. Step 2: Convert to fraction form
    78,862/119,932 = 119,932/x
  3. Step 3: Cross multiply
    78,862x = 119,932 × 119,932
  4. Step 4: Simplify right side
    78,862x = 14,383,684,624
  5. Step 5: Solve for x
    x = 14,383,684,624/78,862
  6. Step 6: Final answer
    x = 182,390.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.