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Finding the Third Proportional to 54,270 and 118,422

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Solution

The third proportional to 54,270 and 118,422 is: 258,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270 : 118,422 = 118,422 : x
  2. Step 2: Convert to fraction form
    54,270/118,422 = 118,422/x
  3. Step 3: Cross multiply
    54,270x = 118,422 × 118,422
  4. Step 4: Simplify right side
    54,270x = 14,023,770,084
  5. Step 5: Solve for x
    x = 14,023,770,084/54,270
  6. Step 6: Final answer
    x = 258,407.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.