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Finding the Third Proportional to 2,083 and 3,133

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Solution

The third proportional to 2,083 and 3,133 is: 4,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083 : 3,133 = 3,133 : x
  2. Step 2: Convert to fraction form
    2,083/3,133 = 3,133/x
  3. Step 3: Cross multiply
    2,083x = 3,133 × 3,133
  4. Step 4: Simplify right side
    2,083x = 9,815,689
  5. Step 5: Solve for x
    x = 9,815,689/2,083
  6. Step 6: Final answer
    x = 4,712.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.