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Finding the Third Proportional to 998.72 and 2,123.44

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Solution

The third proportional to 998.72 and 2,123.44 is: 4,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.72 : 2,123.44 = 2,123.44 : x
  2. Step 2: Convert to fraction form
    998.72/2,123.44 = 2,123.44/x
  3. Step 3: Cross multiply
    998.72x = 2,123.44 × 2,123.44
  4. Step 4: Simplify right side
    998.72x = 4,508,986.82
  5. Step 5: Solve for x
    x = 4,508,986.82/998.72
  6. Step 6: Final answer
    x = 4,514.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.