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Finding the Third Proportional to 941.25 and 2,266.13

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Solution

The third proportional to 941.25 and 2,266.13 is: 5,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.25 : 2,266.13 = 2,266.13 : x
  2. Step 2: Convert to fraction form
    941.25/2,266.13 = 2,266.13/x
  3. Step 3: Cross multiply
    941.25x = 2,266.13 × 2,266.13
  4. Step 4: Simplify right side
    941.25x = 5,135,322.52
  5. Step 5: Solve for x
    x = 5,135,322.52/941.25
  6. Step 6: Final answer
    x = 5,455.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.