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Finding the Third Proportional to 835.31 and 1,821.23

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Solution

The third proportional to 835.31 and 1,821.23 is: 3,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.31 : 1,821.23 = 1,821.23 : x
  2. Step 2: Convert to fraction form
    835.31/1,821.23 = 1,821.23/x
  3. Step 3: Cross multiply
    835.31x = 1,821.23 × 1,821.23
  4. Step 4: Simplify right side
    835.31x = 3,316,894.65
  5. Step 5: Solve for x
    x = 3,316,894.65/835.31
  6. Step 6: Final answer
    x = 3,970.84

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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.