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Finding the Third Proportional to 221.06 and 541.55

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Solution

The third proportional to 221.06 and 541.55 is: 1,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.06 : 541.55 = 541.55 : x
  2. Step 2: Convert to fraction form
    221.06/541.55 = 541.55/x
  3. Step 3: Cross multiply
    221.06x = 541.55 × 541.55
  4. Step 4: Simplify right side
    221.06x = 293,273.02
  5. Step 5: Solve for x
    x = 293,273.02/221.06
  6. Step 6: Final answer
    x = 1,326.65

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.