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Finding the Third Proportional to 53,879 and 117,253

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Solution

The third proportional to 53,879 and 117,253 is: 255,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,879 : 117,253 = 117,253 : x
  2. Step 2: Convert to fraction form
    53,879/117,253 = 117,253/x
  3. Step 3: Cross multiply
    53,879x = 117,253 × 117,253
  4. Step 4: Simplify right side
    53,879x = 13,748,266,009
  5. Step 5: Solve for x
    x = 13,748,266,009/53,879
  6. Step 6: Final answer
    x = 255,169.29

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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.