Home / 1,647-3,873

Finding the Third Proportional to 1,647 and 3,873

Calculator

Solution

The third proportional to 1,647 and 3,873 is: 9,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647 : 3,873 = 3,873 : x
  2. Step 2: Convert to fraction form
    1,647/3,873 = 3,873/x
  3. Step 3: Cross multiply
    1,647x = 3,873 × 3,873
  4. Step 4: Simplify right side
    1,647x = 15,000,129
  5. Step 5: Solve for x
    x = 15,000,129/1,647
  6. Step 6: Final answer
    x = 9,107.55

Related Problems

Find third proportional to 823.50 and 1,936.50
Half scale
Find third proportional to 3,294 and 7,746
Double scale
Find third proportional to 1,649 and 3,878
Similar ratio
Find third proportional to 2,470.50 and 5,809.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.