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Finding the Third Proportional to 125.61 and 189.21

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Solution

The third proportional to 125.61 and 189.21 is: 285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.61 : 189.21 = 189.21 : x
  2. Step 2: Convert to fraction form
    125.61/189.21 = 189.21/x
  3. Step 3: Cross multiply
    125.61x = 189.21 × 189.21
  4. Step 4: Simplify right side
    125.61x = 35,800.78
  5. Step 5: Solve for x
    x = 35,800.78/125.61
  6. Step 6: Final answer
    x = 285.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.