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Finding the Third Proportional to 3,106.13 and 4,425.19

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Solution

The third proportional to 3,106.13 and 4,425.19 is: 6,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.13 : 4,425.19 = 4,425.19 : x
  2. Step 2: Convert to fraction form
    3,106.13/4,425.19 = 4,425.19/x
  3. Step 3: Cross multiply
    3,106.13x = 4,425.19 × 4,425.19
  4. Step 4: Simplify right side
    3,106.13x = 19,582,284.41
  5. Step 5: Solve for x
    x = 19,582,284.41/3,106.13
  6. Step 6: Final answer
    x = 6,304.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.