Home / 1,123-1,597

Finding the Third Proportional to 1,123 and 1,597

Calculator

Solution

The third proportional to 1,123 and 1,597 is: 2,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123 : 1,597 = 1,597 : x
  2. Step 2: Convert to fraction form
    1,123/1,597 = 1,597/x
  3. Step 3: Cross multiply
    1,123x = 1,597 × 1,597
  4. Step 4: Simplify right side
    1,123x = 2,550,409
  5. Step 5: Solve for x
    x = 2,550,409/1,123
  6. Step 6: Final answer
    x = 2,271.07

Related Problems

Find third proportional to 561.50 and 798.50
Half scale
Find third proportional to 2,246 and 3,194
Double scale
Find third proportional to 1,125 and 1,600
Similar ratio
Find third proportional to 1,684.50 and 2,395.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.