Home / 335-829

Finding the Third Proportional to 335 and 829

Calculator

Solution

The third proportional to 335 and 829 is: 2,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335 : 829 = 829 : x
  2. Step 2: Convert to fraction form
    335/829 = 829/x
  3. Step 3: Cross multiply
    335x = 829 × 829
  4. Step 4: Simplify right side
    335x = 687,241
  5. Step 5: Solve for x
    x = 687,241/335
  6. Step 6: Final answer
    x = 2,051.47

Related Problems

Find third proportional to 167.50 and 414.50
Half scale
Find third proportional to 670 and 1,658
Double scale
Find third proportional to 337 and 834
Similar ratio
Find third proportional to 502.50 and 1,243.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.