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Finding the Third Proportional to 5,757.75 and 10,675.13

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Solution

The third proportional to 5,757.75 and 10,675.13 is: 19,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 10,675.13 = 10,675.13 : x
  2. Step 2: Convert to fraction form
    5,757.75/10,675.13 = 10,675.13/x
  3. Step 3: Cross multiply
    5,757.75x = 10,675.13 × 10,675.13
  4. Step 4: Simplify right side
    5,757.75x = 113,958,293.77
  5. Step 5: Solve for x
    x = 113,958,293.77/5,757.75
  6. Step 6: Final answer
    x = 19,792.16

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.