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Finding the Third Proportional to 61.75 and 133.56

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Solution

The third proportional to 61.75 and 133.56 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.75 : 133.56 = 133.56 : x
  2. Step 2: Convert to fraction form
    61.75/133.56 = 133.56/x
  3. Step 3: Cross multiply
    61.75x = 133.56 × 133.56
  4. Step 4: Simplify right side
    61.75x = 17,838.94
  5. Step 5: Solve for x
    x = 17,838.94/61.75
  6. Step 6: Final answer
    x = 288.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.