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Finding the Third Proportional to 123.66 and 189.75

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Solution

The third proportional to 123.66 and 189.75 is: 291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 189.75 = 189.75 : x
  2. Step 2: Convert to fraction form
    123.66/189.75 = 189.75/x
  3. Step 3: Cross multiply
    123.66x = 189.75 × 189.75
  4. Step 4: Simplify right side
    123.66x = 36,005.06
  5. Step 5: Solve for x
    x = 36,005.06/123.66
  6. Step 6: Final answer
    x = 291.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.