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Finding the Third Proportional to 124.24 and 189.70

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Solution

The third proportional to 124.24 and 189.70 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.24 : 189.70 = 189.70 : x
  2. Step 2: Convert to fraction form
    124.24/189.70 = 189.70/x
  3. Step 3: Cross multiply
    124.24x = 189.70 × 189.70
  4. Step 4: Simplify right side
    124.24x = 35,987.28
  5. Step 5: Solve for x
    x = 35,987.28/124.24
  6. Step 6: Final answer
    x = 289.65

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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.