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Finding the Third Proportional to 125.93 and 189.21

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Solution

The third proportional to 125.93 and 189.21 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.93 : 189.21 = 189.21 : x
  2. Step 2: Convert to fraction form
    125.93/189.21 = 189.21/x
  3. Step 3: Cross multiply
    125.93x = 189.21 × 189.21
  4. Step 4: Simplify right side
    125.93x = 35,800.78
  5. Step 5: Solve for x
    x = 35,800.78/125.93
  6. Step 6: Final answer
    x = 284.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.