Home / 509-829

Finding the Third Proportional to 509 and 829

Calculator

Solution

The third proportional to 509 and 829 is: 1,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 829 = 829 : x
  2. Step 2: Convert to fraction form
    509/829 = 829/x
  3. Step 3: Cross multiply
    509x = 829 × 829
  4. Step 4: Simplify right side
    509x = 687,241
  5. Step 5: Solve for x
    x = 687,241/509
  6. Step 6: Final answer
    x = 1,350.18

Related Problems

Find third proportional to 254.50 and 414.50
Half scale
Find third proportional to 1,018 and 1,658
Double scale
Find third proportional to 511 and 832
Similar ratio
Find third proportional to 763.50 and 1,243.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.