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Finding the Third Proportional to 134.03 and 271.78

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Solution

The third proportional to 134.03 and 271.78 is: 551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.03 : 271.78 = 271.78 : x
  2. Step 2: Convert to fraction form
    134.03/271.78 = 271.78/x
  3. Step 3: Cross multiply
    134.03x = 271.78 × 271.78
  4. Step 4: Simplify right side
    134.03x = 73,865.05
  5. Step 5: Solve for x
    x = 73,865.05/134.03
  6. Step 6: Final answer
    x = 551.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.