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Finding the Third Proportional to 81,589 and 126,090

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Solution

The third proportional to 81,589 and 126,090 is: 194,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,589 : 126,090 = 126,090 : x
  2. Step 2: Convert to fraction form
    81,589/126,090 = 126,090/x
  3. Step 3: Cross multiply
    81,589x = 126,090 × 126,090
  4. Step 4: Simplify right side
    81,589x = 15,898,688,100
  5. Step 5: Solve for x
    x = 15,898,688,100/81,589
  6. Step 6: Final answer
    x = 194,863.13

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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.