Home / 857.50-1,311

Finding the Third Proportional to 857.50 and 1,311

Calculator

Solution

The third proportional to 857.50 and 1,311 is: 2,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.50 : 1,311 = 1,311 : x
  2. Step 2: Convert to fraction form
    857.50/1,311 = 1,311/x
  3. Step 3: Cross multiply
    857.50x = 1,311 × 1,311
  4. Step 4: Simplify right side
    857.50x = 1,718,721
  5. Step 5: Solve for x
    x = 1,718,721/857.50
  6. Step 6: Final answer
    x = 2,004.34

Related Problems

Find third proportional to 428.75 and 655.50
Half scale
Find third proportional to 1,715 and 2,622
Double scale
Find third proportional to 860 and 1,314
Similar ratio
Find third proportional to 1,286.25 and 1,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.