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Finding the Third Proportional to 134.78 and 276.84

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Solution

The third proportional to 134.78 and 276.84 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 276.84 = 276.84 : x
  2. Step 2: Convert to fraction form
    134.78/276.84 = 276.84/x
  3. Step 3: Cross multiply
    134.78x = 276.84 × 276.84
  4. Step 4: Simplify right side
    134.78x = 76,642.46
  5. Step 5: Solve for x
    x = 76,642.46/134.78
  6. Step 6: Final answer
    x = 568.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.