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Finding the Third Proportional to 6.53 and 17.15

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Solution

The third proportional to 6.53 and 17.15 is: 45.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.53 : 17.15 = 17.15 : x
  2. Step 2: Convert to fraction form
    6.53/17.15 = 17.15/x
  3. Step 3: Cross multiply
    6.53x = 17.15 × 17.15
  4. Step 4: Simplify right side
    6.53x = 294.21
  5. Step 5: Solve for x
    x = 294.21/6.53
  6. Step 6: Final answer
    x = 45.04

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.