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Finding the Third Proportional to 81,469 and 121,742

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Solution

The third proportional to 81,469 and 121,742 is: 181,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469 : 121,742 = 121,742 : x
  2. Step 2: Convert to fraction form
    81,469/121,742 = 121,742/x
  3. Step 3: Cross multiply
    81,469x = 121,742 × 121,742
  4. Step 4: Simplify right side
    81,469x = 14,821,114,564
  5. Step 5: Solve for x
    x = 14,821,114,564/81,469
  6. Step 6: Final answer
    x = 181,923.36

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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.