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Finding the Third Proportional to 3,334.78 and 5,011.03

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Solution

The third proportional to 3,334.78 and 5,011.03 is: 7,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.78 : 5,011.03 = 5,011.03 : x
  2. Step 2: Convert to fraction form
    3,334.78/5,011.03 = 5,011.03/x
  3. Step 3: Cross multiply
    3,334.78x = 5,011.03 × 5,011.03
  4. Step 4: Simplify right side
    3,334.78x = 25,110,434.19
  5. Step 5: Solve for x
    x = 25,110,434.19/3,334.78
  6. Step 6: Final answer
    x = 7,529.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.