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Finding the Third Proportional to 62.25 and 134.38

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Solution

The third proportional to 62.25 and 134.38 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.25 : 134.38 = 134.38 : x
  2. Step 2: Convert to fraction form
    62.25/134.38 = 134.38/x
  3. Step 3: Cross multiply
    62.25x = 134.38 × 134.38
  4. Step 4: Simplify right side
    62.25x = 18,056.64
  5. Step 5: Solve for x
    x = 18,056.64/62.25
  6. Step 6: Final answer
    x = 290.07

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Why These Related Problems?

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