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Finding the Third Proportional to 2,033 and 3,853

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Solution

The third proportional to 2,033 and 3,853 is: 7,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033 : 3,853 = 3,853 : x
  2. Step 2: Convert to fraction form
    2,033/3,853 = 3,853/x
  3. Step 3: Cross multiply
    2,033x = 3,853 × 3,853
  4. Step 4: Simplify right side
    2,033x = 14,845,609
  5. Step 5: Solve for x
    x = 14,845,609/2,033
  6. Step 6: Final answer
    x = 7,302.32

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.