Home / 61.50-84

Finding the Third Proportional to 61.50 and 84

Calculator

Solution

The third proportional to 61.50 and 84 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.50 : 84 = 84 : x
  2. Step 2: Convert to fraction form
    61.50/84 = 84/x
  3. Step 3: Cross multiply
    61.50x = 84 × 84
  4. Step 4: Simplify right side
    61.50x = 7,056
  5. Step 5: Solve for x
    x = 7,056/61.50
  6. Step 6: Final answer
    x = 114.73

Related Problems

Find third proportional to 30.75 and 42
Half scale
Find third proportional to 123 and 168
Double scale
Find third proportional to 64 and 87
Similar ratio
Find third proportional to 92.25 and 126
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.