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Finding the Third Proportional to 2,085.75 and 4,065.19

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Solution

The third proportional to 2,085.75 and 4,065.19 is: 7,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.75 : 4,065.19 = 4,065.19 : x
  2. Step 2: Convert to fraction form
    2,085.75/4,065.19 = 4,065.19/x
  3. Step 3: Cross multiply
    2,085.75x = 4,065.19 × 4,065.19
  4. Step 4: Simplify right side
    2,085.75x = 16,525,749.41
  5. Step 5: Solve for x
    x = 16,525,749.41/2,085.75
  6. Step 6: Final answer
    x = 7,923.17

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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.