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Finding the Third Proportional to 2,036.50 and 4,195

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Solution

The third proportional to 2,036.50 and 4,195 is: 8,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.50 : 4,195 = 4,195 : x
  2. Step 2: Convert to fraction form
    2,036.50/4,195 = 4,195/x
  3. Step 3: Cross multiply
    2,036.50x = 4,195 × 4,195
  4. Step 4: Simplify right side
    2,036.50x = 17,598,025
  5. Step 5: Solve for x
    x = 17,598,025/2,036.50
  6. Step 6: Final answer
    x = 8,641.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.