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Finding the Third Proportional to 102.04 and 220.30

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Solution

The third proportional to 102.04 and 220.30 is: 475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 220.30 = 220.30 : x
  2. Step 2: Convert to fraction form
    102.04/220.30 = 220.30/x
  3. Step 3: Cross multiply
    102.04x = 220.30 × 220.30
  4. Step 4: Simplify right side
    102.04x = 48,531.42
  5. Step 5: Solve for x
    x = 48,531.42/102.04
  6. Step 6: Final answer
    x = 475.61

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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.