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Finding the Third Proportional to 125.88 and 209.19

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Solution

The third proportional to 125.88 and 209.19 is: 347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.88 : 209.19 = 209.19 : x
  2. Step 2: Convert to fraction form
    125.88/209.19 = 209.19/x
  3. Step 3: Cross multiply
    125.88x = 209.19 × 209.19
  4. Step 4: Simplify right side
    125.88x = 43,759.41
  5. Step 5: Solve for x
    x = 43,759.41/125.88
  6. Step 6: Final answer
    x = 347.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.