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Finding the Third Proportional to 6.64 and 14.45

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Solution

The third proportional to 6.64 and 14.45 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.64 : 14.45 = 14.45 : x
  2. Step 2: Convert to fraction form
    6.64/14.45 = 14.45/x
  3. Step 3: Cross multiply
    6.64x = 14.45 × 14.45
  4. Step 4: Simplify right side
    6.64x = 208.78
  5. Step 5: Solve for x
    x = 208.78/6.64
  6. Step 6: Final answer
    x = 31.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.