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Finding the Third Proportional to 440.09 and 942.82

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Solution

The third proportional to 440.09 and 942.82 is: 2,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.09 : 942.82 = 942.82 : x
  2. Step 2: Convert to fraction form
    440.09/942.82 = 942.82/x
  3. Step 3: Cross multiply
    440.09x = 942.82 × 942.82
  4. Step 4: Simplify right side
    440.09x = 888,910.14
  5. Step 5: Solve for x
    x = 888,910.14/440.09
  6. Step 6: Final answer
    x = 2,019.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.