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Finding the Third Proportional to 3,121.03 and 4,812.54

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Solution

The third proportional to 3,121.03 and 4,812.54 is: 7,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.03 : 4,812.54 = 4,812.54 : x
  2. Step 2: Convert to fraction form
    3,121.03/4,812.54 = 4,812.54/x
  3. Step 3: Cross multiply
    3,121.03x = 4,812.54 × 4,812.54
  4. Step 4: Simplify right side
    3,121.03x = 23,160,532.23
  5. Step 5: Solve for x
    x = 23,160,532.23/3,121.03
  6. Step 6: Final answer
    x = 7,420.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.