Home / 870-1,323

Finding the Third Proportional to 870 and 1,323

Calculator

Solution

The third proportional to 870 and 1,323 is: 2,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 1,323 = 1,323 : x
  2. Step 2: Convert to fraction form
    870/1,323 = 1,323/x
  3. Step 3: Cross multiply
    870x = 1,323 × 1,323
  4. Step 4: Simplify right side
    870x = 1,750,329
  5. Step 5: Solve for x
    x = 1,750,329/870
  6. Step 6: Final answer
    x = 2,011.87

Related Problems

Find third proportional to 435 and 661.50
Half scale
Find third proportional to 1,740 and 2,646
Double scale
Find third proportional to 872 and 1,326
Similar ratio
Find third proportional to 1,305 and 1,984.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.