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Finding the Third Proportional to 13.02 and 28.36

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Solution

The third proportional to 13.02 and 28.36 is: 61.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 28.36 = 28.36 : x
  2. Step 2: Convert to fraction form
    13.02/28.36 = 28.36/x
  3. Step 3: Cross multiply
    13.02x = 28.36 × 28.36
  4. Step 4: Simplify right side
    13.02x = 804.16
  5. Step 5: Solve for x
    x = 804.16/13.02
  6. Step 6: Final answer
    x = 61.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.