Home / 802-898

Finding the Third Proportional to 802 and 898

Calculator

Solution

The third proportional to 802 and 898 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 898 = 898 : x
  2. Step 2: Convert to fraction form
    802/898 = 898/x
  3. Step 3: Cross multiply
    802x = 898 × 898
  4. Step 4: Simplify right side
    802x = 806,404
  5. Step 5: Solve for x
    x = 806,404/802
  6. Step 6: Final answer
    x = 1,005.49

Related Problems

Find third proportional to 401 and 449
Half scale
Find third proportional to 1,604 and 1,796
Double scale
Find third proportional to 804 and 900
Similar ratio
Find third proportional to 1,203 and 1,347
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.