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Finding the Third Proportional to 124.10 and 208.65

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Solution

The third proportional to 124.10 and 208.65 is: 350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 208.65 = 208.65 : x
  2. Step 2: Convert to fraction form
    124.10/208.65 = 208.65/x
  3. Step 3: Cross multiply
    124.10x = 208.65 × 208.65
  4. Step 4: Simplify right side
    124.10x = 43,535.80
  5. Step 5: Solve for x
    x = 43,535.80/124.10
  6. Step 6: Final answer
    x = 350.81

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.