Home / 122.50-140

Finding the Third Proportional to 122.50 and 140

Calculator

Solution

The third proportional to 122.50 and 140 is: 160

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 140 = 140 : x
  2. Step 2: Convert to fraction form
    122.50/140 = 140/x
  3. Step 3: Cross multiply
    122.50x = 140 × 140
  4. Step 4: Simplify right side
    122.50x = 19,600
  5. Step 5: Solve for x
    x = 19,600/122.50
  6. Step 6: Final answer
    x = 160

Related Problems

Find third proportional to 61.25 and 70
Half scale
Find third proportional to 245 and 280
Double scale
Find third proportional to 125 and 142
Similar ratio
Find third proportional to 183.75 and 210
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.