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Finding the Third Proportional to 30.94 and 63.56

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Solution

The third proportional to 30.94 and 63.56 is: 130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.94 : 63.56 = 63.56 : x
  2. Step 2: Convert to fraction form
    30.94/63.56 = 63.56/x
  3. Step 3: Cross multiply
    30.94x = 63.56 × 63.56
  4. Step 4: Simplify right side
    30.94x = 4,040.19
  5. Step 5: Solve for x
    x = 4,040.19/30.94
  6. Step 6: Final answer
    x = 130.59

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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.