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Finding the Third Proportional to 445.78 and 994.01

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Solution

The third proportional to 445.78 and 994.01 is: 2,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 994.01 = 994.01 : x
  2. Step 2: Convert to fraction form
    445.78/994.01 = 994.01/x
  3. Step 3: Cross multiply
    445.78x = 994.01 × 994.01
  4. Step 4: Simplify right side
    445.78x = 988,051.53
  5. Step 5: Solve for x
    x = 988,051.53/445.78
  6. Step 6: Final answer
    x = 2,216.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.