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Finding the Third Proportional to 30.85 and 63.12

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Solution

The third proportional to 30.85 and 63.12 is: 129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.85 : 63.12 = 63.12 : x
  2. Step 2: Convert to fraction form
    30.85/63.12 = 63.12/x
  3. Step 3: Cross multiply
    30.85x = 63.12 × 63.12
  4. Step 4: Simplify right side
    30.85x = 3,984.52
  5. Step 5: Solve for x
    x = 3,984.52/30.85
  6. Step 6: Final answer
    x = 129.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.