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Finding the Third Proportional to 853.66 and 1,878.82

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Solution

The third proportional to 853.66 and 1,878.82 is: 4,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.66 : 1,878.82 = 1,878.82 : x
  2. Step 2: Convert to fraction form
    853.66/1,878.82 = 1,878.82/x
  3. Step 3: Cross multiply
    853.66x = 1,878.82 × 1,878.82
  4. Step 4: Simplify right side
    853.66x = 3,529,965.77
  5. Step 5: Solve for x
    x = 3,529,965.77/853.66
  6. Step 6: Final answer
    x = 4,135.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.