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Finding the Third Proportional to 6.28 and 15.30

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Solution

The third proportional to 6.28 and 15.30 is: 37.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.28 : 15.30 = 15.30 : x
  2. Step 2: Convert to fraction form
    6.28/15.30 = 15.30/x
  3. Step 3: Cross multiply
    6.28x = 15.30 × 15.30
  4. Step 4: Simplify right side
    6.28x = 234.23
  5. Step 5: Solve for x
    x = 234.23/6.28
  6. Step 6: Final answer
    x = 37.29

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.