Home / 1,138-1,254

Finding the Third Proportional to 1,138 and 1,254

Calculator

Solution

The third proportional to 1,138 and 1,254 is: 1,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138 : 1,254 = 1,254 : x
  2. Step 2: Convert to fraction form
    1,138/1,254 = 1,254/x
  3. Step 3: Cross multiply
    1,138x = 1,254 × 1,254
  4. Step 4: Simplify right side
    1,138x = 1,572,516
  5. Step 5: Solve for x
    x = 1,572,516/1,138
  6. Step 6: Final answer
    x = 1,381.82

Related Problems

Find third proportional to 569 and 627
Half scale
Find third proportional to 2,276 and 2,508
Double scale
Find third proportional to 1,140 and 1,256
Similar ratio
Find third proportional to 1,707 and 1,881
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.