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Finding the Third Proportional to 102.88 and 148.44

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Solution

The third proportional to 102.88 and 148.44 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 148.44 = 148.44 : x
  2. Step 2: Convert to fraction form
    102.88/148.44 = 148.44/x
  3. Step 3: Cross multiply
    102.88x = 148.44 × 148.44
  4. Step 4: Simplify right side
    102.88x = 22,033.69
  5. Step 5: Solve for x
    x = 22,033.69/102.88
  6. Step 6: Final answer
    x = 214.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.