Home / 852-1,289

Finding the Third Proportional to 852 and 1,289

Calculator

Solution

The third proportional to 852 and 1,289 is: 1,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    852 : 1,289 = 1,289 : x
  2. Step 2: Convert to fraction form
    852/1,289 = 1,289/x
  3. Step 3: Cross multiply
    852x = 1,289 × 1,289
  4. Step 4: Simplify right side
    852x = 1,661,521
  5. Step 5: Solve for x
    x = 1,661,521/852
  6. Step 6: Final answer
    x = 1,950.14

Related Problems

Find third proportional to 426 and 644.50
Half scale
Find third proportional to 1,704 and 2,578
Double scale
Find third proportional to 854 and 1,292
Similar ratio
Find third proportional to 1,278 and 1,933.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.