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Finding the Third Proportional to 5,155.31 and 11,129.91

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Solution

The third proportional to 5,155.31 and 11,129.91 is: 24,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.31 : 11,129.91 = 11,129.91 : x
  2. Step 2: Convert to fraction form
    5,155.31/11,129.91 = 11,129.91/x
  3. Step 3: Cross multiply
    5,155.31x = 11,129.91 × 11,129.91
  4. Step 4: Simplify right side
    5,155.31x = 123,874,813.13
  5. Step 5: Solve for x
    x = 123,874,813.13/5,155.31
  6. Step 6: Final answer
    x = 24,028.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.