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Finding the Third Proportional to 55,917 and 121,676

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Solution

The third proportional to 55,917 and 121,676 is: 264,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,917 : 121,676 = 121,676 : x
  2. Step 2: Convert to fraction form
    55,917/121,676 = 121,676/x
  3. Step 3: Cross multiply
    55,917x = 121,676 × 121,676
  4. Step 4: Simplify right side
    55,917x = 14,805,048,976
  5. Step 5: Solve for x
    x = 14,805,048,976/55,917
  6. Step 6: Final answer
    x = 264,768.30

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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.