Home / 1,164-1,329

Finding the Third Proportional to 1,164 and 1,329

Calculator

Solution

The third proportional to 1,164 and 1,329 is: 1,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 1,329 = 1,329 : x
  2. Step 2: Convert to fraction form
    1,164/1,329 = 1,329/x
  3. Step 3: Cross multiply
    1,164x = 1,329 × 1,329
  4. Step 4: Simplify right side
    1,164x = 1,766,241
  5. Step 5: Solve for x
    x = 1,766,241/1,164
  6. Step 6: Final answer
    x = 1,517.39

Related Problems

Find third proportional to 582 and 664.50
Half scale
Find third proportional to 2,328 and 2,658
Double scale
Find third proportional to 1,166 and 1,331
Similar ratio
Find third proportional to 1,746 and 1,993.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.