Home / 1,230-1,854

Finding the Third Proportional to 1,230 and 1,854

Calculator

Solution

The third proportional to 1,230 and 1,854 is: 2,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230 : 1,854 = 1,854 : x
  2. Step 2: Convert to fraction form
    1,230/1,854 = 1,854/x
  3. Step 3: Cross multiply
    1,230x = 1,854 × 1,854
  4. Step 4: Simplify right side
    1,230x = 3,437,316
  5. Step 5: Solve for x
    x = 3,437,316/1,230
  6. Step 6: Final answer
    x = 2,794.57

Related Problems

Find third proportional to 615 and 927
Half scale
Find third proportional to 2,460 and 3,708
Double scale
Find third proportional to 1,232 and 1,857
Similar ratio
Find third proportional to 1,845 and 2,781
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.