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Finding the Third Proportional to 102.28 and 220.90

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Solution

The third proportional to 102.28 and 220.90 is: 477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 220.90 = 220.90 : x
  2. Step 2: Convert to fraction form
    102.28/220.90 = 220.90/x
  3. Step 3: Cross multiply
    102.28x = 220.90 × 220.90
  4. Step 4: Simplify right side
    102.28x = 48,798.71
  5. Step 5: Solve for x
    x = 48,798.71/102.28
  6. Step 6: Final answer
    x = 477.12

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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.