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Finding the Third Proportional to 835.03 and 1,746.84

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Solution

The third proportional to 835.03 and 1,746.84 is: 3,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.03 : 1,746.84 = 1,746.84 : x
  2. Step 2: Convert to fraction form
    835.03/1,746.84 = 1,746.84/x
  3. Step 3: Cross multiply
    835.03x = 1,746.84 × 1,746.84
  4. Step 4: Simplify right side
    835.03x = 3,051,463.09
  5. Step 5: Solve for x
    x = 3,051,463.09/835.03
  6. Step 6: Final answer
    x = 3,654.31

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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.