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Finding the Third Proportional to 10.05 and 27.02

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Solution

The third proportional to 10.05 and 27.02 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.05 : 27.02 = 27.02 : x
  2. Step 2: Convert to fraction form
    10.05/27.02 = 27.02/x
  3. Step 3: Cross multiply
    10.05x = 27.02 × 27.02
  4. Step 4: Simplify right side
    10.05x = 729.84
  5. Step 5: Solve for x
    x = 729.84/10.05
  6. Step 6: Final answer
    x = 72.64

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.