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Finding the Third Proportional to 851.92 and 1,260.80

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Solution

The third proportional to 851.92 and 1,260.80 is: 1,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.92 : 1,260.80 = 1,260.80 : x
  2. Step 2: Convert to fraction form
    851.92/1,260.80 = 1,260.80/x
  3. Step 3: Cross multiply
    851.92x = 1,260.80 × 1,260.80
  4. Step 4: Simplify right side
    851.92x = 1,589,616.15
  5. Step 5: Solve for x
    x = 1,589,616.15/851.92
  6. Step 6: Final answer
    x = 1,865.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.