Home / 1,218-1,840

Finding the Third Proportional to 1,218 and 1,840

Calculator

Solution

The third proportional to 1,218 and 1,840 is: 2,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218 : 1,840 = 1,840 : x
  2. Step 2: Convert to fraction form
    1,218/1,840 = 1,840/x
  3. Step 3: Cross multiply
    1,218x = 1,840 × 1,840
  4. Step 4: Simplify right side
    1,218x = 3,385,600
  5. Step 5: Solve for x
    x = 3,385,600/1,218
  6. Step 6: Final answer
    x = 2,779.64

Related Problems

Find third proportional to 609 and 920
Half scale
Find third proportional to 2,436 and 3,680
Double scale
Find third proportional to 1,220 and 1,843
Similar ratio
Find third proportional to 1,827 and 2,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.