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Finding the Third Proportional to 990.94 and 2,145.56

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Solution

The third proportional to 990.94 and 2,145.56 is: 4,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.94 : 2,145.56 = 2,145.56 : x
  2. Step 2: Convert to fraction form
    990.94/2,145.56 = 2,145.56/x
  3. Step 3: Cross multiply
    990.94x = 2,145.56 × 2,145.56
  4. Step 4: Simplify right side
    990.94x = 4,603,438.44
  5. Step 5: Solve for x
    x = 4,603,438.44/990.94
  6. Step 6: Final answer
    x = 4,645.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.