Home / 969-1,038

Finding the Third Proportional to 969 and 1,038

Calculator

Solution

The third proportional to 969 and 1,038 is: 1,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 1,038 = 1,038 : x
  2. Step 2: Convert to fraction form
    969/1,038 = 1,038/x
  3. Step 3: Cross multiply
    969x = 1,038 × 1,038
  4. Step 4: Simplify right side
    969x = 1,077,444
  5. Step 5: Solve for x
    x = 1,077,444/969
  6. Step 6: Final answer
    x = 1,111.91

Related Problems

Find third proportional to 484.50 and 519
Half scale
Find third proportional to 1,938 and 2,076
Double scale
Find third proportional to 971 and 1,040
Similar ratio
Find third proportional to 1,453.50 and 1,557
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.