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Finding the Third Proportional to 843.54 and 1,782.63

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Solution

The third proportional to 843.54 and 1,782.63 is: 3,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.54 : 1,782.63 = 1,782.63 : x
  2. Step 2: Convert to fraction form
    843.54/1,782.63 = 1,782.63/x
  3. Step 3: Cross multiply
    843.54x = 1,782.63 × 1,782.63
  4. Step 4: Simplify right side
    843.54x = 3,177,779.74
  5. Step 5: Solve for x
    x = 3,177,779.74/843.54
  6. Step 6: Final answer
    x = 3,767.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.