Home / 1,842-2,409

Finding the Third Proportional to 1,842 and 2,409

Calculator

Solution

The third proportional to 1,842 and 2,409 is: 3,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842 : 2,409 = 2,409 : x
  2. Step 2: Convert to fraction form
    1,842/2,409 = 2,409/x
  3. Step 3: Cross multiply
    1,842x = 2,409 × 2,409
  4. Step 4: Simplify right side
    1,842x = 5,803,281
  5. Step 5: Solve for x
    x = 5,803,281/1,842
  6. Step 6: Final answer
    x = 3,150.53

Related Problems

Find third proportional to 921 and 1,204.50
Half scale
Find third proportional to 3,684 and 4,818
Double scale
Find third proportional to 1,844 and 2,412
Similar ratio
Find third proportional to 2,763 and 3,613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.