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Finding the Third Proportional to 942.19 and 1,911.09

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Solution

The third proportional to 942.19 and 1,911.09 is: 3,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.19 : 1,911.09 = 1,911.09 : x
  2. Step 2: Convert to fraction form
    942.19/1,911.09 = 1,911.09/x
  3. Step 3: Cross multiply
    942.19x = 1,911.09 × 1,911.09
  4. Step 4: Simplify right side
    942.19x = 3,652,279.32
  5. Step 5: Solve for x
    x = 3,652,279.32/942.19
  6. Step 6: Final answer
    x = 3,876.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.