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Finding the Third Proportional to 3,186.75 and 6,510.75

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Solution

The third proportional to 3,186.75 and 6,510.75 is: 13,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.75 : 6,510.75 = 6,510.75 : x
  2. Step 2: Convert to fraction form
    3,186.75/6,510.75 = 6,510.75/x
  3. Step 3: Cross multiply
    3,186.75x = 6,510.75 × 6,510.75
  4. Step 4: Simplify right side
    3,186.75x = 42,389,865.56
  5. Step 5: Solve for x
    x = 42,389,865.56/3,186.75
  6. Step 6: Final answer
    x = 13,301.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.