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Finding the Third Proportional to 455.34 and 998.44

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Solution

The third proportional to 455.34 and 998.44 is: 2,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.34 : 998.44 = 998.44 : x
  2. Step 2: Convert to fraction form
    455.34/998.44 = 998.44/x
  3. Step 3: Cross multiply
    455.34x = 998.44 × 998.44
  4. Step 4: Simplify right side
    455.34x = 996,877.44
  5. Step 5: Solve for x
    x = 996,877.44/455.34
  6. Step 6: Final answer
    x = 2,189.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.