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Finding the Third Proportional to 62.25 and 134.06

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Solution

The third proportional to 62.25 and 134.06 is: 288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.25 : 134.06 = 134.06 : x
  2. Step 2: Convert to fraction form
    62.25/134.06 = 134.06/x
  3. Step 3: Cross multiply
    62.25x = 134.06 × 134.06
  4. Step 4: Simplify right side
    62.25x = 17,972.75
  5. Step 5: Solve for x
    x = 17,972.75/62.25
  6. Step 6: Final answer
    x = 288.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.