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Finding the Third Proportional to 101.43 and 220.57

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Solution

The third proportional to 101.43 and 220.57 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.43 : 220.57 = 220.57 : x
  2. Step 2: Convert to fraction form
    101.43/220.57 = 220.57/x
  3. Step 3: Cross multiply
    101.43x = 220.57 × 220.57
  4. Step 4: Simplify right side
    101.43x = 48,651.26
  5. Step 5: Solve for x
    x = 48,651.26/101.43
  6. Step 6: Final answer
    x = 479.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.