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Finding the Third Proportional to 5,113.13 and 11,767.78

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Solution

The third proportional to 5,113.13 and 11,767.78 is: 27,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 11,767.78 = 11,767.78 : x
  2. Step 2: Convert to fraction form
    5,113.13/11,767.78 = 11,767.78/x
  3. Step 3: Cross multiply
    5,113.13x = 11,767.78 × 11,767.78
  4. Step 4: Simplify right side
    5,113.13x = 138,480,675.55
  5. Step 5: Solve for x
    x = 138,480,675.55/5,113.13
  6. Step 6: Final answer
    x = 27,083.37

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.