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Finding the Third Proportional to 5,429.53 and 11,775.38

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Solution

The third proportional to 5,429.53 and 11,775.38 is: 25,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.53 : 11,775.38 = 11,775.38 : x
  2. Step 2: Convert to fraction form
    5,429.53/11,775.38 = 11,775.38/x
  3. Step 3: Cross multiply
    5,429.53x = 11,775.38 × 11,775.38
  4. Step 4: Simplify right side
    5,429.53x = 138,659,456.39
  5. Step 5: Solve for x
    x = 138,659,456.39/5,429.53
  6. Step 6: Final answer
    x = 25,538.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.