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Finding the Third Proportional to 127 and 223.75

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Solution

The third proportional to 127 and 223.75 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 223.75 = 223.75 : x
  2. Step 2: Convert to fraction form
    127/223.75 = 223.75/x
  3. Step 3: Cross multiply
    127x = 223.75 × 223.75
  4. Step 4: Simplify right side
    127x = 50,064.06
  5. Step 5: Solve for x
    x = 50,064.06/127
  6. Step 6: Final answer
    x = 394.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.