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Finding the Third Proportional to 220.85 and 485.37

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Solution

The third proportional to 220.85 and 485.37 is: 1,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.85 : 485.37 = 485.37 : x
  2. Step 2: Convert to fraction form
    220.85/485.37 = 485.37/x
  3. Step 3: Cross multiply
    220.85x = 485.37 × 485.37
  4. Step 4: Simplify right side
    220.85x = 235,581.31
  5. Step 5: Solve for x
    x = 235,581.31/220.85
  6. Step 6: Final answer
    x = 1,066.70

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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.