Home / 529-829

Finding the Third Proportional to 529 and 829

Calculator

Solution

The third proportional to 529 and 829 is: 1,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529 : 829 = 829 : x
  2. Step 2: Convert to fraction form
    529/829 = 829/x
  3. Step 3: Cross multiply
    529x = 829 × 829
  4. Step 4: Simplify right side
    529x = 687,241
  5. Step 5: Solve for x
    x = 687,241/529
  6. Step 6: Final answer
    x = 1,299.13

Related Problems

Find third proportional to 264.50 and 414.50
Half scale
Find third proportional to 1,058 and 1,658
Double scale
Find third proportional to 531 and 832
Similar ratio
Find third proportional to 793.50 and 1,243.50
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.