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Finding the Third Proportional to 134.56 and 206.94

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Solution

The third proportional to 134.56 and 206.94 is: 318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.56 : 206.94 = 206.94 : x
  2. Step 2: Convert to fraction form
    134.56/206.94 = 206.94/x
  3. Step 3: Cross multiply
    134.56x = 206.94 × 206.94
  4. Step 4: Simplify right side
    134.56x = 42,823.13
  5. Step 5: Solve for x
    x = 42,823.13/134.56
  6. Step 6: Final answer
    x = 318.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.