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Finding the Third Proportional to 5,775.05 and 10,729.97

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Solution

The third proportional to 5,775.05 and 10,729.97 is: 19,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.05 : 10,729.97 = 10,729.97 : x
  2. Step 2: Convert to fraction form
    5,775.05/10,729.97 = 10,729.97/x
  3. Step 3: Cross multiply
    5,775.05x = 10,729.97 × 10,729.97
  4. Step 4: Simplify right side
    5,775.05x = 115,132,229.38
  5. Step 5: Solve for x
    x = 115,132,229.38/5,775.05
  6. Step 6: Final answer
    x = 19,936.15

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.