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Finding the Third Proportional to 102.13 and 216.81

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Solution

The third proportional to 102.13 and 216.81 is: 460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.13 : 216.81 = 216.81 : x
  2. Step 2: Convert to fraction form
    102.13/216.81 = 216.81/x
  3. Step 3: Cross multiply
    102.13x = 216.81 × 216.81
  4. Step 4: Simplify right side
    102.13x = 47,007.66
  5. Step 5: Solve for x
    x = 47,007.66/102.13
  6. Step 6: Final answer
    x = 460.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.