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Finding the Third Proportional to 1,790.63 and 3,934.31

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Solution

The third proportional to 1,790.63 and 3,934.31 is: 8,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.63 : 3,934.31 = 3,934.31 : x
  2. Step 2: Convert to fraction form
    1,790.63/3,934.31 = 3,934.31/x
  3. Step 3: Cross multiply
    1,790.63x = 3,934.31 × 3,934.31
  4. Step 4: Simplify right side
    1,790.63x = 15,478,814.85
  5. Step 5: Solve for x
    x = 15,478,814.85/1,790.63
  6. Step 6: Final answer
    x = 8,644.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.