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Finding the Third Proportional to 127 and 190.50

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Solution

The third proportional to 127 and 190.50 is: 285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 190.50 = 190.50 : x
  2. Step 2: Convert to fraction form
    127/190.50 = 190.50/x
  3. Step 3: Cross multiply
    127x = 190.50 × 190.50
  4. Step 4: Simplify right side
    127x = 36,290.25
  5. Step 5: Solve for x
    x = 36,290.25/127
  6. Step 6: Final answer
    x = 285.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.