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Finding the Third Proportional to 2,902.50 and 6,186.38

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Solution

The third proportional to 2,902.50 and 6,186.38 is: 13,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.50 : 6,186.38 = 6,186.38 : x
  2. Step 2: Convert to fraction form
    2,902.50/6,186.38 = 6,186.38/x
  3. Step 3: Cross multiply
    2,902.50x = 6,186.38 × 6,186.38
  4. Step 4: Simplify right side
    2,902.50x = 38,271,235.64
  5. Step 5: Solve for x
    x = 38,271,235.64/2,902.50
  6. Step 6: Final answer
    x = 13,185.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.