Home / 1,192-1,382

Finding the Third Proportional to 1,192 and 1,382

Calculator

Solution

The third proportional to 1,192 and 1,382 is: 1,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192 : 1,382 = 1,382 : x
  2. Step 2: Convert to fraction form
    1,192/1,382 = 1,382/x
  3. Step 3: Cross multiply
    1,192x = 1,382 × 1,382
  4. Step 4: Simplify right side
    1,192x = 1,909,924
  5. Step 5: Solve for x
    x = 1,909,924/1,192
  6. Step 6: Final answer
    x = 1,602.29

Related Problems

Find third proportional to 596 and 691
Half scale
Find third proportional to 2,384 and 2,764
Double scale
Find third proportional to 1,194 and 1,384
Similar ratio
Find third proportional to 1,788 and 2,073
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.