Home / 852-1,970

Finding the Third Proportional to 852 and 1,970

Calculator

Solution

The third proportional to 852 and 1,970 is: 4,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    852 : 1,970 = 1,970 : x
  2. Step 2: Convert to fraction form
    852/1,970 = 1,970/x
  3. Step 3: Cross multiply
    852x = 1,970 × 1,970
  4. Step 4: Simplify right side
    852x = 3,880,900
  5. Step 5: Solve for x
    x = 3,880,900/852
  6. Step 6: Final answer
    x = 4,555.05

Related Problems

Find third proportional to 426 and 985
Half scale
Find third proportional to 1,704 and 3,940
Double scale
Find third proportional to 854 and 1,975
Similar ratio
Find third proportional to 1,278 and 2,955
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.