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Finding the Third Proportional to 30.34 and 68.52

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Solution

The third proportional to 30.34 and 68.52 is: 154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.34 : 68.52 = 68.52 : x
  2. Step 2: Convert to fraction form
    30.34/68.52 = 68.52/x
  3. Step 3: Cross multiply
    30.34x = 68.52 × 68.52
  4. Step 4: Simplify right side
    30.34x = 4,694.93
  5. Step 5: Solve for x
    x = 4,694.93/30.34
  6. Step 6: Final answer
    x = 154.74

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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.