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Finding the Third Proportional to 124.94 and 189.28

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Solution

The third proportional to 124.94 and 189.28 is: 286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.94 : 189.28 = 189.28 : x
  2. Step 2: Convert to fraction form
    124.94/189.28 = 189.28/x
  3. Step 3: Cross multiply
    124.94x = 189.28 × 189.28
  4. Step 4: Simplify right side
    124.94x = 35,826.98
  5. Step 5: Solve for x
    x = 35,826.98/124.94
  6. Step 6: Final answer
    x = 286.75

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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.