Home / 898-1,410

Finding the Third Proportional to 898 and 1,410

Calculator

Solution

The third proportional to 898 and 1,410 is: 2,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    898 : 1,410 = 1,410 : x
  2. Step 2: Convert to fraction form
    898/1,410 = 1,410/x
  3. Step 3: Cross multiply
    898x = 1,410 × 1,410
  4. Step 4: Simplify right side
    898x = 1,988,100
  5. Step 5: Solve for x
    x = 1,988,100/898
  6. Step 6: Final answer
    x = 2,213.92

Related Problems

Find third proportional to 449 and 705
Half scale
Find third proportional to 1,796 and 2,820
Double scale
Find third proportional to 900 and 1,413
Similar ratio
Find third proportional to 1,347 and 2,115
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.