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Finding the Third Proportional to 833 and 1,309.25

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Solution

The third proportional to 833 and 1,309.25 is: 2,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    833 : 1,309.25 = 1,309.25 : x
  2. Step 2: Convert to fraction form
    833/1,309.25 = 1,309.25/x
  3. Step 3: Cross multiply
    833x = 1,309.25 × 1,309.25
  4. Step 4: Simplify right side
    833x = 1,714,135.56
  5. Step 5: Solve for x
    x = 1,714,135.56/833
  6. Step 6: Final answer
    x = 2,057.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.