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Finding the Third Proportional to 494.07 and 1,033.52

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Solution

The third proportional to 494.07 and 1,033.52 is: 2,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.07 : 1,033.52 = 1,033.52 : x
  2. Step 2: Convert to fraction form
    494.07/1,033.52 = 1,033.52/x
  3. Step 3: Cross multiply
    494.07x = 1,033.52 × 1,033.52
  4. Step 4: Simplify right side
    494.07x = 1,068,166.15
  5. Step 5: Solve for x
    x = 1,068,166.15/494.07
  6. Step 6: Final answer
    x = 2,161.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.