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Finding the Third Proportional to 823.75 and 1,282.88

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Solution

The third proportional to 823.75 and 1,282.88 is: 1,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.75 : 1,282.88 = 1,282.88 : x
  2. Step 2: Convert to fraction form
    823.75/1,282.88 = 1,282.88/x
  3. Step 3: Cross multiply
    823.75x = 1,282.88 × 1,282.88
  4. Step 4: Simplify right side
    823.75x = 1,645,768.27
  5. Step 5: Solve for x
    x = 1,645,768.27/823.75
  6. Step 6: Final answer
    x = 1,997.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.