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Finding the Third Proportional to 70.88 and 134.26

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Solution

The third proportional to 70.88 and 134.26 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.88 : 134.26 = 134.26 : x
  2. Step 2: Convert to fraction form
    70.88/134.26 = 134.26/x
  3. Step 3: Cross multiply
    70.88x = 134.26 × 134.26
  4. Step 4: Simplify right side
    70.88x = 18,026.21
  5. Step 5: Solve for x
    x = 18,026.21/70.88
  6. Step 6: Final answer
    x = 254.34

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.