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Finding the Third Proportional to 125.02 and 190.38

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Solution

The third proportional to 125.02 and 190.38 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.02 : 190.38 = 190.38 : x
  2. Step 2: Convert to fraction form
    125.02/190.38 = 190.38/x
  3. Step 3: Cross multiply
    125.02x = 190.38 × 190.38
  4. Step 4: Simplify right side
    125.02x = 36,245.62
  5. Step 5: Solve for x
    x = 36,245.62/125.02
  6. Step 6: Final answer
    x = 289.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.