Home / 856.50-966

Finding the Third Proportional to 856.50 and 966

Calculator

Solution

The third proportional to 856.50 and 966 is: 1,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.50 : 966 = 966 : x
  2. Step 2: Convert to fraction form
    856.50/966 = 966/x
  3. Step 3: Cross multiply
    856.50x = 966 × 966
  4. Step 4: Simplify right side
    856.50x = 933,156
  5. Step 5: Solve for x
    x = 933,156/856.50
  6. Step 6: Final answer
    x = 1,089.50

Related Problems

Find third proportional to 428.25 and 483
Half scale
Find third proportional to 1,713 and 1,932
Double scale
Find third proportional to 859 and 968
Similar ratio
Find third proportional to 1,284.75 and 1,449
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.