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Finding the Third Proportional to 81,782 and 119,980

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Solution

The third proportional to 81,782 and 119,980 is: 176,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,782 : 119,980 = 119,980 : x
  2. Step 2: Convert to fraction form
    81,782/119,980 = 119,980/x
  3. Step 3: Cross multiply
    81,782x = 119,980 × 119,980
  4. Step 4: Simplify right side
    81,782x = 14,395,200,400
  5. Step 5: Solve for x
    x = 14,395,200,400/81,782
  6. Step 6: Final answer
    x = 176,019.18

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Why These Related Problems?

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