Home / 67.50-90

Finding the Third Proportional to 67.50 and 90

Calculator

Solution

The third proportional to 67.50 and 90 is: 120

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 90 = 90 : x
  2. Step 2: Convert to fraction form
    67.50/90 = 90/x
  3. Step 3: Cross multiply
    67.50x = 90 × 90
  4. Step 4: Simplify right side
    67.50x = 8,100
  5. Step 5: Solve for x
    x = 8,100/67.50
  6. Step 6: Final answer
    x = 120

Related Problems

Find third proportional to 33.75 and 45
Half scale
Find third proportional to 135 and 180
Double scale
Find third proportional to 70 and 93
Similar ratio
Find third proportional to 101.25 and 135
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.