Home / 1,164-2,596

Finding the Third Proportional to 1,164 and 2,596

Calculator

Solution

The third proportional to 1,164 and 2,596 is: 5,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 2,596 = 2,596 : x
  2. Step 2: Convert to fraction form
    1,164/2,596 = 2,596/x
  3. Step 3: Cross multiply
    1,164x = 2,596 × 2,596
  4. Step 4: Simplify right side
    1,164x = 6,739,216
  5. Step 5: Solve for x
    x = 6,739,216/1,164
  6. Step 6: Final answer
    x = 5,789.70

Related Problems

Find third proportional to 582 and 1,298
Half scale
Find third proportional to 2,328 and 5,192
Double scale
Find third proportional to 1,166 and 2,600
Similar ratio
Find third proportional to 1,746 and 3,894
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.