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Finding the Third Proportional to 3,106.88 and 6,056.25

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Solution

The third proportional to 3,106.88 and 6,056.25 is: 11,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.88 : 6,056.25 = 6,056.25 : x
  2. Step 2: Convert to fraction form
    3,106.88/6,056.25 = 6,056.25/x
  3. Step 3: Cross multiply
    3,106.88x = 6,056.25 × 6,056.25
  4. Step 4: Simplify right side
    3,106.88x = 36,678,164.06
  5. Step 5: Solve for x
    x = 36,678,164.06/3,106.88
  6. Step 6: Final answer
    x = 11,805.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.