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Finding the Third Proportional to 920.11 and 1,961.72

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Solution

The third proportional to 920.11 and 1,961.72 is: 4,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.11 : 1,961.72 = 1,961.72 : x
  2. Step 2: Convert to fraction form
    920.11/1,961.72 = 1,961.72/x
  3. Step 3: Cross multiply
    920.11x = 1,961.72 × 1,961.72
  4. Step 4: Simplify right side
    920.11x = 3,848,340.45
  5. Step 5: Solve for x
    x = 3,848,340.45/920.11
  6. Step 6: Final answer
    x = 4,182.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.