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Finding the Third Proportional to 3,782.38 and 5,833.06

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Solution

The third proportional to 3,782.38 and 5,833.06 is: 8,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.38 : 5,833.06 = 5,833.06 : x
  2. Step 2: Convert to fraction form
    3,782.38/5,833.06 = 5,833.06/x
  3. Step 3: Cross multiply
    3,782.38x = 5,833.06 × 5,833.06
  4. Step 4: Simplify right side
    3,782.38x = 34,024,618.13
  5. Step 5: Solve for x
    x = 34,024,618.13/3,782.38
  6. Step 6: Final answer
    x = 8,995.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.