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Finding the Third Proportional to 831 and 1,748.06

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Solution

The third proportional to 831 and 1,748.06 is: 3,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831 : 1,748.06 = 1,748.06 : x
  2. Step 2: Convert to fraction form
    831/1,748.06 = 1,748.06/x
  3. Step 3: Cross multiply
    831x = 1,748.06 × 1,748.06
  4. Step 4: Simplify right side
    831x = 3,055,722.50
  5. Step 5: Solve for x
    x = 3,055,722.50/831
  6. Step 6: Final answer
    x = 3,677.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.