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Finding the Third Proportional to 31.94 and 70.34

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Solution

The third proportional to 31.94 and 70.34 is: 154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.94 : 70.34 = 70.34 : x
  2. Step 2: Convert to fraction form
    31.94/70.34 = 70.34/x
  3. Step 3: Cross multiply
    31.94x = 70.34 × 70.34
  4. Step 4: Simplify right side
    31.94x = 4,948.24
  5. Step 5: Solve for x
    x = 4,948.24/31.94
  6. Step 6: Final answer
    x = 154.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.