Home / 829-898

Finding the Third Proportional to 829 and 898

Calculator

Solution

The third proportional to 829 and 898 is: 972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 898 = 898 : x
  2. Step 2: Convert to fraction form
    829/898 = 898/x
  3. Step 3: Cross multiply
    829x = 898 × 898
  4. Step 4: Simplify right side
    829x = 806,404
  5. Step 5: Solve for x
    x = 806,404/829
  6. Step 6: Final answer
    x = 972.74

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.