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Finding the Third Proportional to 34.59 and 70.66

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Solution

The third proportional to 34.59 and 70.66 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.59 : 70.66 = 70.66 : x
  2. Step 2: Convert to fraction form
    34.59/70.66 = 70.66/x
  3. Step 3: Cross multiply
    34.59x = 70.66 × 70.66
  4. Step 4: Simplify right side
    34.59x = 4,993.41
  5. Step 5: Solve for x
    x = 4,993.41/34.59
  6. Step 6: Final answer
    x = 144.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.