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Finding the Third Proportional to 5,357.81 and 11,782.13

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Solution

The third proportional to 5,357.81 and 11,782.13 is: 25,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.81 : 11,782.13 = 11,782.13 : x
  2. Step 2: Convert to fraction form
    5,357.81/11,782.13 = 11,782.13/x
  3. Step 3: Cross multiply
    5,357.81x = 11,782.13 × 11,782.13
  4. Step 4: Simplify right side
    5,357.81x = 138,818,469.52
  5. Step 5: Solve for x
    x = 138,818,469.52/5,357.81
  6. Step 6: Final answer
    x = 25,909.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.