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Finding the Third Proportional to 102.20 and 146.18

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Solution

The third proportional to 102.20 and 146.18 is: 209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.20 : 146.18 = 146.18 : x
  2. Step 2: Convert to fraction form
    102.20/146.18 = 146.18/x
  3. Step 3: Cross multiply
    102.20x = 146.18 × 146.18
  4. Step 4: Simplify right side
    102.20x = 21,368.50
  5. Step 5: Solve for x
    x = 21,368.50/102.20
  6. Step 6: Final answer
    x = 209.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.