Home / 814-1,160

Finding the Third Proportional to 814 and 1,160

Calculator

Solution

The third proportional to 814 and 1,160 is: 1,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 1,160 = 1,160 : x
  2. Step 2: Convert to fraction form
    814/1,160 = 1,160/x
  3. Step 3: Cross multiply
    814x = 1,160 × 1,160
  4. Step 4: Simplify right side
    814x = 1,345,600
  5. Step 5: Solve for x
    x = 1,345,600/814
  6. Step 6: Final answer
    x = 1,653.07

Related Problems

Find third proportional to 407 and 580
Half scale
Find third proportional to 1,628 and 2,320
Double scale
Find third proportional to 816 and 1,163
Similar ratio
Find third proportional to 1,221 and 1,740
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.