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Finding the Third Proportional to 6 and 37.50

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Solution

The third proportional to 6 and 37.50 is: 234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 37.50 = 37.50 : x
  2. Step 2: Convert to fraction form
    6/37.50 = 37.50/x
  3. Step 3: Cross multiply
    6x = 37.50 × 37.50
  4. Step 4: Simplify right side
    6x = 1,406.25
  5. Step 5: Solve for x
    x = 1,406.25/6
  6. Step 6: Final answer
    x = 234.38

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Why These Related Problems?

These problems maintain the same ratio (6.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.