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Finding the Third Proportional to 81,453 and 126,121

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Solution

The third proportional to 81,453 and 126,121 is: 195,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,453 : 126,121 = 126,121 : x
  2. Step 2: Convert to fraction form
    81,453/126,121 = 126,121/x
  3. Step 3: Cross multiply
    81,453x = 126,121 × 126,121
  4. Step 4: Simplify right side
    81,453x = 15,906,506,641
  5. Step 5: Solve for x
    x = 15,906,506,641/81,453
  6. Step 6: Final answer
    x = 195,284.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.