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Finding the Third Proportional to 101.21 and 216.30

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Solution

The third proportional to 101.21 and 216.30 is: 462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.21 : 216.30 = 216.30 : x
  2. Step 2: Convert to fraction form
    101.21/216.30 = 216.30/x
  3. Step 3: Cross multiply
    101.21x = 216.30 × 216.30
  4. Step 4: Simplify right side
    101.21x = 46,785.18
  5. Step 5: Solve for x
    x = 46,785.18/101.21
  6. Step 6: Final answer
    x = 462.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.