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Finding the Third Proportional to 30.14 and 63.83

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Solution

The third proportional to 30.14 and 63.83 is: 135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.14 : 63.83 = 63.83 : x
  2. Step 2: Convert to fraction form
    30.14/63.83 = 63.83/x
  3. Step 3: Cross multiply
    30.14x = 63.83 × 63.83
  4. Step 4: Simplify right side
    30.14x = 4,074.90
  5. Step 5: Solve for x
    x = 4,074.90/30.14
  6. Step 6: Final answer
    x = 135.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.