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Finding the Third Proportional to 53,676 and 117,972

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Solution

The third proportional to 53,676 and 117,972 is: 259,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,676 : 117,972 = 117,972 : x
  2. Step 2: Convert to fraction form
    53,676/117,972 = 117,972/x
  3. Step 3: Cross multiply
    53,676x = 117,972 × 117,972
  4. Step 4: Simplify right side
    53,676x = 13,917,392,784
  5. Step 5: Solve for x
    x = 13,917,392,784/53,676
  6. Step 6: Final answer
    x = 259,285.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.