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Finding the Third Proportional to 81,131 and 121,021

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Solution

The third proportional to 81,131 and 121,021 is: 180,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,131 : 121,021 = 121,021 : x
  2. Step 2: Convert to fraction form
    81,131/121,021 = 121,021/x
  3. Step 3: Cross multiply
    81,131x = 121,021 × 121,021
  4. Step 4: Simplify right side
    81,131x = 14,646,082,441
  5. Step 5: Solve for x
    x = 14,646,082,441/81,131
  6. Step 6: Final answer
    x = 180,523.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.