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Finding the Third Proportional to 82,980 and 119,286

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Solution

The third proportional to 82,980 and 119,286 is: 171,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980 : 119,286 = 119,286 : x
  2. Step 2: Convert to fraction form
    82,980/119,286 = 119,286/x
  3. Step 3: Cross multiply
    82,980x = 119,286 × 119,286
  4. Step 4: Simplify right side
    82,980x = 14,229,149,796
  5. Step 5: Solve for x
    x = 14,229,149,796/82,980
  6. Step 6: Final answer
    x = 171,476.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.