Home / 1,030-1,110

Finding the Third Proportional to 1,030 and 1,110

Calculator

Solution

The third proportional to 1,030 and 1,110 is: 1,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030 : 1,110 = 1,110 : x
  2. Step 2: Convert to fraction form
    1,030/1,110 = 1,110/x
  3. Step 3: Cross multiply
    1,030x = 1,110 × 1,110
  4. Step 4: Simplify right side
    1,030x = 1,232,100
  5. Step 5: Solve for x
    x = 1,232,100/1,030
  6. Step 6: Final answer
    x = 1,196.21

Related Problems

Find third proportional to 515 and 555
Half scale
Find third proportional to 2,060 and 2,220
Double scale
Find third proportional to 1,032 and 1,112
Similar ratio
Find third proportional to 1,545 and 1,665
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.