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Finding the Third Proportional to 64.97 and 128.81

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Solution

The third proportional to 64.97 and 128.81 is: 255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 128.81 = 128.81 : x
  2. Step 2: Convert to fraction form
    64.97/128.81 = 128.81/x
  3. Step 3: Cross multiply
    64.97x = 128.81 × 128.81
  4. Step 4: Simplify right side
    64.97x = 16,592.66
  5. Step 5: Solve for x
    x = 16,592.66/64.97
  6. Step 6: Final answer
    x = 255.39

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.