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Finding the Third Proportional to 3,212.78 and 4,792.43

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Solution

The third proportional to 3,212.78 and 4,792.43 is: 7,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.78 : 4,792.43 = 4,792.43 : x
  2. Step 2: Convert to fraction form
    3,212.78/4,792.43 = 4,792.43/x
  3. Step 3: Cross multiply
    3,212.78x = 4,792.43 × 4,792.43
  4. Step 4: Simplify right side
    3,212.78x = 22,967,361.25
  5. Step 5: Solve for x
    x = 22,967,361.25/3,212.78
  6. Step 6: Final answer
    x = 7,148.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.