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Finding the Third Proportional to 1,633 and 1,990

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Solution

The third proportional to 1,633 and 1,990 is: 2,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633 : 1,990 = 1,990 : x
  2. Step 2: Convert to fraction form
    1,633/1,990 = 1,990/x
  3. Step 3: Cross multiply
    1,633x = 1,990 × 1,990
  4. Step 4: Simplify right side
    1,633x = 3,960,100
  5. Step 5: Solve for x
    x = 3,960,100/1,633
  6. Step 6: Final answer
    x = 2,425.05

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.