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Finding the Third Proportional to 55,158 and 121,980

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Solution

The third proportional to 55,158 and 121,980 is: 269,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,158 : 121,980 = 121,980 : x
  2. Step 2: Convert to fraction form
    55,158/121,980 = 121,980/x
  3. Step 3: Cross multiply
    55,158x = 121,980 × 121,980
  4. Step 4: Simplify right side
    55,158x = 14,879,120,400
  5. Step 5: Solve for x
    x = 14,879,120,400/55,158
  6. Step 6: Final answer
    x = 269,754.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.