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Finding the Third Proportional to 446.77 and 942.89

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Solution

The third proportional to 446.77 and 942.89 is: 1,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.77 : 942.89 = 942.89 : x
  2. Step 2: Convert to fraction form
    446.77/942.89 = 942.89/x
  3. Step 3: Cross multiply
    446.77x = 942.89 × 942.89
  4. Step 4: Simplify right side
    446.77x = 889,042.73
  5. Step 5: Solve for x
    x = 889,042.73/446.77
  6. Step 6: Final answer
    x = 1,989.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.