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Finding the Third Proportional to 81.49 and 128.07

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Solution

The third proportional to 81.49 and 128.07 is: 201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.49 : 128.07 = 128.07 : x
  2. Step 2: Convert to fraction form
    81.49/128.07 = 128.07/x
  3. Step 3: Cross multiply
    81.49x = 128.07 × 128.07
  4. Step 4: Simplify right side
    81.49x = 16,401.00
  5. Step 5: Solve for x
    x = 16,401.00/81.49
  6. Step 6: Final answer
    x = 201.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.