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Finding the Third Proportional to 154.75 and 171.63

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Solution

The third proportional to 154.75 and 171.63 is: 190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.75 : 171.63 = 171.63 : x
  2. Step 2: Convert to fraction form
    154.75/171.63 = 171.63/x
  3. Step 3: Cross multiply
    154.75x = 171.63 × 171.63
  4. Step 4: Simplify right side
    154.75x = 29,455.14
  5. Step 5: Solve for x
    x = 29,455.14/154.75
  6. Step 6: Final answer
    x = 190.34

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.