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Finding the Third Proportional to 102.16 and 220.69

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Solution

The third proportional to 102.16 and 220.69 is: 476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 220.69 = 220.69 : x
  2. Step 2: Convert to fraction form
    102.16/220.69 = 220.69/x
  3. Step 3: Cross multiply
    102.16x = 220.69 × 220.69
  4. Step 4: Simplify right side
    102.16x = 48,705.56
  5. Step 5: Solve for x
    x = 48,705.56/102.16
  6. Step 6: Final answer
    x = 476.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.