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Finding the Third Proportional to 3,150.56 and 7,496.72

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Solution

The third proportional to 3,150.56 and 7,496.72 is: 17,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.56 : 7,496.72 = 7,496.72 : x
  2. Step 2: Convert to fraction form
    3,150.56/7,496.72 = 7,496.72/x
  3. Step 3: Cross multiply
    3,150.56x = 7,496.72 × 7,496.72
  4. Step 4: Simplify right side
    3,150.56x = 56,200,792.02
  5. Step 5: Solve for x
    x = 56,200,792.02/3,150.56
  6. Step 6: Final answer
    x = 17,838.34

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.