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Finding the Third Proportional to 30.50 and 57.63

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Solution

The third proportional to 30.50 and 57.63 is: 108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 57.63 = 57.63 : x
  2. Step 2: Convert to fraction form
    30.50/57.63 = 57.63/x
  3. Step 3: Cross multiply
    30.50x = 57.63 × 57.63
  4. Step 4: Simplify right side
    30.50x = 3,320.64
  5. Step 5: Solve for x
    x = 3,320.64/30.50
  6. Step 6: Final answer
    x = 108.87

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.