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Finding the Third Proportional to 64.88 and 164.44

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Solution

The third proportional to 64.88 and 164.44 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.88 : 164.44 = 164.44 : x
  2. Step 2: Convert to fraction form
    64.88/164.44 = 164.44/x
  3. Step 3: Cross multiply
    64.88x = 164.44 × 164.44
  4. Step 4: Simplify right side
    64.88x = 27,039.69
  5. Step 5: Solve for x
    x = 27,039.69/64.88
  6. Step 6: Final answer
    x = 416.80

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.