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

Find third proportional to 414.50 and 449
Half scale
Find third proportional to 1,658 and 1,796
Double scale
Find third proportional to 831 and 900
Similar ratio
Find third proportional to 1,243.50 and 1,347
1.5x scale

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.