Home / 1,668-1,840

Finding the Third Proportional to 1,668 and 1,840

Calculator

Solution

The third proportional to 1,668 and 1,840 is: 2,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668 : 1,840 = 1,840 : x
  2. Step 2: Convert to fraction form
    1,668/1,840 = 1,840/x
  3. Step 3: Cross multiply
    1,668x = 1,840 × 1,840
  4. Step 4: Simplify right side
    1,668x = 3,385,600
  5. Step 5: Solve for x
    x = 3,385,600/1,668
  6. Step 6: Final answer
    x = 2,029.74

Related Problems

Find third proportional to 834 and 920
Half scale
Find third proportional to 3,336 and 3,680
Double scale
Find third proportional to 1,670 and 1,842
Similar ratio
Find third proportional to 2,502 and 2,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.