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Finding the Third Proportional to 189.13 and 221.88

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Solution

The third proportional to 189.13 and 221.88 is: 260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.13 : 221.88 = 221.88 : x
  2. Step 2: Convert to fraction form
    189.13/221.88 = 221.88/x
  3. Step 3: Cross multiply
    189.13x = 221.88 × 221.88
  4. Step 4: Simplify right side
    189.13x = 49,228.52
  5. Step 5: Solve for x
    x = 49,228.52/189.13
  6. Step 6: Final answer
    x = 260.30

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.