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Finding the Third Proportional to 81.07 and 128.60

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Solution

The third proportional to 81.07 and 128.60 is: 204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.07 : 128.60 = 128.60 : x
  2. Step 2: Convert to fraction form
    81.07/128.60 = 128.60/x
  3. Step 3: Cross multiply
    81.07x = 128.60 × 128.60
  4. Step 4: Simplify right side
    81.07x = 16,538.36
  5. Step 5: Solve for x
    x = 16,538.36/81.07
  6. Step 6: Final answer
    x = 204.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.