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Finding the Third Proportional to 134.53 and 145.78

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Solution

The third proportional to 134.53 and 145.78 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.53 : 145.78 = 145.78 : x
  2. Step 2: Convert to fraction form
    134.53/145.78 = 145.78/x
  3. Step 3: Cross multiply
    134.53x = 145.78 × 145.78
  4. Step 4: Simplify right side
    134.53x = 21,252.17
  5. Step 5: Solve for x
    x = 21,252.17/134.53
  6. Step 6: Final answer
    x = 157.97

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.