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Finding the Third Proportional to 3,088.50 and 6,794.25

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Solution

The third proportional to 3,088.50 and 6,794.25 is: 14,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.50 : 6,794.25 = 6,794.25 : x
  2. Step 2: Convert to fraction form
    3,088.50/6,794.25 = 6,794.25/x
  3. Step 3: Cross multiply
    3,088.50x = 6,794.25 × 6,794.25
  4. Step 4: Simplify right side
    3,088.50x = 46,161,833.06
  5. Step 5: Solve for x
    x = 46,161,833.06/3,088.50
  6. Step 6: Final answer
    x = 14,946.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.