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Finding the Third Proportional to 822.97 and 1,278.60

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Solution

The third proportional to 822.97 and 1,278.60 is: 1,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.97 : 1,278.60 = 1,278.60 : x
  2. Step 2: Convert to fraction form
    822.97/1,278.60 = 1,278.60/x
  3. Step 3: Cross multiply
    822.97x = 1,278.60 × 1,278.60
  4. Step 4: Simplify right side
    822.97x = 1,634,811.97
  5. Step 5: Solve for x
    x = 1,634,811.97/822.97
  6. Step 6: Final answer
    x = 1,986.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.