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Finding the Third Proportional to 853.45 and 1,803.09

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Solution

The third proportional to 853.45 and 1,803.09 is: 3,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.45 : 1,803.09 = 1,803.09 : x
  2. Step 2: Convert to fraction form
    853.45/1,803.09 = 1,803.09/x
  3. Step 3: Cross multiply
    853.45x = 1,803.09 × 1,803.09
  4. Step 4: Simplify right side
    853.45x = 3,251,147.07
  5. Step 5: Solve for x
    x = 3,251,147.07/853.45
  6. Step 6: Final answer
    x = 3,809.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.