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Finding the Third Proportional to 61.36 and 138.68

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Solution

The third proportional to 61.36 and 138.68 is: 313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.36 : 138.68 = 138.68 : x
  2. Step 2: Convert to fraction form
    61.36/138.68 = 138.68/x
  3. Step 3: Cross multiply
    61.36x = 138.68 × 138.68
  4. Step 4: Simplify right side
    61.36x = 19,232.06
  5. Step 5: Solve for x
    x = 19,232.06/61.36
  6. Step 6: Final answer
    x = 313.43

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.