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Finding the Third Proportional to 54,228 and 126,690

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Solution

The third proportional to 54,228 and 126,690 is: 295,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,228 : 126,690 = 126,690 : x
  2. Step 2: Convert to fraction form
    54,228/126,690 = 126,690/x
  3. Step 3: Cross multiply
    54,228x = 126,690 × 126,690
  4. Step 4: Simplify right side
    54,228x = 16,050,356,100
  5. Step 5: Solve for x
    x = 16,050,356,100/54,228
  6. Step 6: Final answer
    x = 295,979.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.