Home / 1,872-2,040

Finding the Third Proportional to 1,872 and 2,040

Calculator

Solution

The third proportional to 1,872 and 2,040 is: 2,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872 : 2,040 = 2,040 : x
  2. Step 2: Convert to fraction form
    1,872/2,040 = 2,040/x
  3. Step 3: Cross multiply
    1,872x = 2,040 × 2,040
  4. Step 4: Simplify right side
    1,872x = 4,161,600
  5. Step 5: Solve for x
    x = 4,161,600/1,872
  6. Step 6: Final answer
    x = 2,223.08

Related Problems

Find third proportional to 936 and 1,020
Half scale
Find third proportional to 3,744 and 4,080
Double scale
Find third proportional to 1,874 and 2,042
Similar ratio
Find third proportional to 2,808 and 3,060
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.