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Finding the Third Proportional to 945.50 and 2,005.25

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Solution

The third proportional to 945.50 and 2,005.25 is: 4,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 2,005.25 = 2,005.25 : x
  2. Step 2: Convert to fraction form
    945.50/2,005.25 = 2,005.25/x
  3. Step 3: Cross multiply
    945.50x = 2,005.25 × 2,005.25
  4. Step 4: Simplify right side
    945.50x = 4,021,027.56
  5. Step 5: Solve for x
    x = 4,021,027.56/945.50
  6. Step 6: Final answer
    x = 4,252.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.