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Finding the Third Proportional to 142.75 and 191.94

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Solution

The third proportional to 142.75 and 191.94 is: 258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.75 : 191.94 = 191.94 : x
  2. Step 2: Convert to fraction form
    142.75/191.94 = 191.94/x
  3. Step 3: Cross multiply
    142.75x = 191.94 × 191.94
  4. Step 4: Simplify right side
    142.75x = 36,840.00
  5. Step 5: Solve for x
    x = 36,840.00/142.75
  6. Step 6: Final answer
    x = 258.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.