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Finding the Third Proportional to 998.58 and 1,519.17

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Solution

The third proportional to 998.58 and 1,519.17 is: 2,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.58 : 1,519.17 = 1,519.17 : x
  2. Step 2: Convert to fraction form
    998.58/1,519.17 = 1,519.17/x
  3. Step 3: Cross multiply
    998.58x = 1,519.17 × 1,519.17
  4. Step 4: Simplify right side
    998.58x = 2,307,883.19
  5. Step 5: Solve for x
    x = 2,307,883.19/998.58
  6. Step 6: Final answer
    x = 2,311.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.