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Finding the Third Proportional to 142.75 and 190.19

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Solution

The third proportional to 142.75 and 190.19 is: 253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.75 : 190.19 = 190.19 : x
  2. Step 2: Convert to fraction form
    142.75/190.19 = 190.19/x
  3. Step 3: Cross multiply
    142.75x = 190.19 × 190.19
  4. Step 4: Simplify right side
    142.75x = 36,171.29
  5. Step 5: Solve for x
    x = 36,171.29/142.75
  6. Step 6: Final answer
    x = 253.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.