Home / 533-767.50

Finding the Third Proportional to 533 and 767.50

Calculator

Solution

The third proportional to 533 and 767.50 is: 1,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533 : 767.50 = 767.50 : x
  2. Step 2: Convert to fraction form
    533/767.50 = 767.50/x
  3. Step 3: Cross multiply
    533x = 767.50 × 767.50
  4. Step 4: Simplify right side
    533x = 589,056.25
  5. Step 5: Solve for x
    x = 589,056.25/533
  6. Step 6: Final answer
    x = 1,105.17

Related Problems

Find third proportional to 266.50 and 383.75
Half scale
Find third proportional to 1,066 and 1,535
Double scale
Find third proportional to 535 and 770
Similar ratio
Find third proportional to 799.50 and 1,151.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.