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Finding the Third Proportional to 1,317.75 and 1,998.56

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Solution

The third proportional to 1,317.75 and 1,998.56 is: 3,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.75 : 1,998.56 = 1,998.56 : x
  2. Step 2: Convert to fraction form
    1,317.75/1,998.56 = 1,998.56/x
  3. Step 3: Cross multiply
    1,317.75x = 1,998.56 × 1,998.56
  4. Step 4: Simplify right side
    1,317.75x = 3,994,252.07
  5. Step 5: Solve for x
    x = 3,994,252.07/1,317.75
  6. Step 6: Final answer
    x = 3,031.12

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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.