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Finding the Third Proportional to 6,828 and 10,133.25

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Solution

The third proportional to 6,828 and 10,133.25 is: 15,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 10,133.25 = 10,133.25 : x
  2. Step 2: Convert to fraction form
    6,828/10,133.25 = 10,133.25/x
  3. Step 3: Cross multiply
    6,828x = 10,133.25 × 10,133.25
  4. Step 4: Simplify right side
    6,828x = 102,682,755.56
  5. Step 5: Solve for x
    x = 102,682,755.56/6,828
  6. Step 6: Final answer
    x = 15,038.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.