Home / 869-1,410

Finding the Third Proportional to 869 and 1,410

Calculator

Solution

The third proportional to 869 and 1,410 is: 2,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,410 = 1,410 : x
  2. Step 2: Convert to fraction form
    869/1,410 = 1,410/x
  3. Step 3: Cross multiply
    869x = 1,410 × 1,410
  4. Step 4: Simplify right side
    869x = 1,988,100
  5. Step 5: Solve for x
    x = 1,988,100/869
  6. Step 6: Final answer
    x = 2,287.80

Related Problems

Find third proportional to 434.50 and 705
Half scale
Find third proportional to 1,738 and 2,820
Double scale
Find third proportional to 871 and 1,413
Similar ratio
Find third proportional to 1,303.50 and 2,115
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.