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Finding the Third Proportional to 3,084.47 and 4,396.01

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Solution

The third proportional to 3,084.47 and 4,396.01 is: 6,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.47 : 4,396.01 = 4,396.01 : x
  2. Step 2: Convert to fraction form
    3,084.47/4,396.01 = 4,396.01/x
  3. Step 3: Cross multiply
    3,084.47x = 4,396.01 × 4,396.01
  4. Step 4: Simplify right side
    3,084.47x = 19,324,884.69
  5. Step 5: Solve for x
    x = 19,324,884.69/3,084.47
  6. Step 6: Final answer
    x = 6,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.