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Finding the Third Proportional to 102.30 and 221.70

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Solution

The third proportional to 102.30 and 221.70 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 221.70 = 221.70 : x
  2. Step 2: Convert to fraction form
    102.30/221.70 = 221.70/x
  3. Step 3: Cross multiply
    102.30x = 221.70 × 221.70
  4. Step 4: Simplify right side
    102.30x = 49,148.81
  5. Step 5: Solve for x
    x = 49,148.81/102.30
  6. Step 6: Final answer
    x = 480.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.