Home / 533.50-838.50

Finding the Third Proportional to 533.50 and 838.50

Calculator

Solution

The third proportional to 533.50 and 838.50 is: 1,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.50 : 838.50 = 838.50 : x
  2. Step 2: Convert to fraction form
    533.50/838.50 = 838.50/x
  3. Step 3: Cross multiply
    533.50x = 838.50 × 838.50
  4. Step 4: Simplify right side
    533.50x = 703,082.25
  5. Step 5: Solve for x
    x = 703,082.25/533.50
  6. Step 6: Final answer
    x = 1,317.87

Related Problems

Find third proportional to 266.75 and 419.25
Half scale
Find third proportional to 1,067 and 1,677
Double scale
Find third proportional to 536 and 842
Similar ratio
Find third proportional to 800.25 and 1,257.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.