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Finding the Third Proportional to 853.45 and 1,871.44

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Solution

The third proportional to 853.45 and 1,871.44 is: 4,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.45 : 1,871.44 = 1,871.44 : x
  2. Step 2: Convert to fraction form
    853.45/1,871.44 = 1,871.44/x
  3. Step 3: Cross multiply
    853.45x = 1,871.44 × 1,871.44
  4. Step 4: Simplify right side
    853.45x = 3,502,278.32
  5. Step 5: Solve for x
    x = 3,502,278.32/853.45
  6. Step 6: Final answer
    x = 4,103.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.