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Finding the Third Proportional to 825.82 and 1,802.57

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Solution

The third proportional to 825.82 and 1,802.57 is: 3,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.82 : 1,802.57 = 1,802.57 : x
  2. Step 2: Convert to fraction form
    825.82/1,802.57 = 1,802.57/x
  3. Step 3: Cross multiply
    825.82x = 1,802.57 × 1,802.57
  4. Step 4: Simplify right side
    825.82x = 3,249,245.65
  5. Step 5: Solve for x
    x = 3,249,245.65/825.82
  6. Step 6: Final answer
    x = 3,934.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.