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Finding the Third Proportional to 333.75 and 823.13

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Solution

The third proportional to 333.75 and 823.13 is: 2,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.75 : 823.13 = 823.13 : x
  2. Step 2: Convert to fraction form
    333.75/823.13 = 823.13/x
  3. Step 3: Cross multiply
    333.75x = 823.13 × 823.13
  4. Step 4: Simplify right side
    333.75x = 677,534.77
  5. Step 5: Solve for x
    x = 677,534.77/333.75
  6. Step 6: Final answer
    x = 2,030.07

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.