Home / 1,311-1,500

Finding the Third Proportional to 1,311 and 1,500

Calculator

Solution

The third proportional to 1,311 and 1,500 is: 1,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311 : 1,500 = 1,500 : x
  2. Step 2: Convert to fraction form
    1,311/1,500 = 1,500/x
  3. Step 3: Cross multiply
    1,311x = 1,500 × 1,500
  4. Step 4: Simplify right side
    1,311x = 2,250,000
  5. Step 5: Solve for x
    x = 2,250,000/1,311
  6. Step 6: Final answer
    x = 1,716.25

Related Problems

Find third proportional to 655.50 and 750
Half scale
Find third proportional to 2,622 and 3,000
Double scale
Find third proportional to 1,313 and 1,502
Similar ratio
Find third proportional to 1,966.50 and 2,250
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.