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Finding the Third Proportional to 164.21 and 231.13

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Solution

The third proportional to 164.21 and 231.13 is: 325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 231.13 = 231.13 : x
  2. Step 2: Convert to fraction form
    164.21/231.13 = 231.13/x
  3. Step 3: Cross multiply
    164.21x = 231.13 × 231.13
  4. Step 4: Simplify right side
    164.21x = 53,423.28
  5. Step 5: Solve for x
    x = 53,423.28/164.21
  6. Step 6: Final answer
    x = 325.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.