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Finding the Third Proportional to 55,383.75 and 121,844.25

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Solution

The third proportional to 55,383.75 and 121,844.25 is: 268,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.75 : 121,844.25 = 121,844.25 : x
  2. Step 2: Convert to fraction form
    55,383.75/121,844.25 = 121,844.25/x
  3. Step 3: Cross multiply
    55,383.75x = 121,844.25 × 121,844.25
  4. Step 4: Simplify right side
    55,383.75x = 14,846,021,258.06
  5. Step 5: Solve for x
    x = 14,846,021,258.06/55,383.75
  6. Step 6: Final answer
    x = 268,057.35

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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.