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Finding the Third Proportional to 851.06 and 1,788.19

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Solution

The third proportional to 851.06 and 1,788.19 is: 3,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.06 : 1,788.19 = 1,788.19 : x
  2. Step 2: Convert to fraction form
    851.06/1,788.19 = 1,788.19/x
  3. Step 3: Cross multiply
    851.06x = 1,788.19 × 1,788.19
  4. Step 4: Simplify right side
    851.06x = 3,197,614.54
  5. Step 5: Solve for x
    x = 3,197,614.54/851.06
  6. Step 6: Final answer
    x = 3,757.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.