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Finding the Third Proportional to 998.26 and 1,538.21

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Solution

The third proportional to 998.26 and 1,538.21 is: 2,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.26 : 1,538.21 = 1,538.21 : x
  2. Step 2: Convert to fraction form
    998.26/1,538.21 = 1,538.21/x
  3. Step 3: Cross multiply
    998.26x = 1,538.21 × 1,538.21
  4. Step 4: Simplify right side
    998.26x = 2,366,086.88
  5. Step 5: Solve for x
    x = 2,366,086.88/998.26
  6. Step 6: Final answer
    x = 2,370.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.