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Finding the Third Proportional to 1,277.75 and 2,854.75

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Solution

The third proportional to 1,277.75 and 2,854.75 is: 6,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.75 : 2,854.75 = 2,854.75 : x
  2. Step 2: Convert to fraction form
    1,277.75/2,854.75 = 2,854.75/x
  3. Step 3: Cross multiply
    1,277.75x = 2,854.75 × 2,854.75
  4. Step 4: Simplify right side
    1,277.75x = 8,149,597.56
  5. Step 5: Solve for x
    x = 8,149,597.56/1,277.75
  6. Step 6: Final answer
    x = 6,378.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.