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Finding the Third Proportional to 81,784 and 119,982

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Solution

The third proportional to 81,784 and 119,982 is: 176,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,784 : 119,982 = 119,982 : x
  2. Step 2: Convert to fraction form
    81,784/119,982 = 119,982/x
  3. Step 3: Cross multiply
    81,784x = 119,982 × 119,982
  4. Step 4: Simplify right side
    81,784x = 14,395,680,324
  5. Step 5: Solve for x
    x = 14,395,680,324/81,784
  6. Step 6: Final answer
    x = 176,020.74

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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.