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Finding the Third Proportional to 1,212.94 and 1,878.84

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Solution

The third proportional to 1,212.94 and 1,878.84 is: 2,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.94 : 1,878.84 = 1,878.84 : x
  2. Step 2: Convert to fraction form
    1,212.94/1,878.84 = 1,878.84/x
  3. Step 3: Cross multiply
    1,212.94x = 1,878.84 × 1,878.84
  4. Step 4: Simplify right side
    1,212.94x = 3,530,053.84
  5. Step 5: Solve for x
    x = 3,530,053.84/1,212.94
  6. Step 6: Final answer
    x = 2,910.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.