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Finding the Third Proportional to 851.45 and 1,212.39

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Solution

The third proportional to 851.45 and 1,212.39 is: 1,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.45 : 1,212.39 = 1,212.39 : x
  2. Step 2: Convert to fraction form
    851.45/1,212.39 = 1,212.39/x
  3. Step 3: Cross multiply
    851.45x = 1,212.39 × 1,212.39
  4. Step 4: Simplify right side
    851.45x = 1,469,888.66
  5. Step 5: Solve for x
    x = 1,469,888.66/851.45
  6. Step 6: Final answer
    x = 1,726.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.