Home / 52.50-81.50

Finding the Third Proportional to 52.50 and 81.50

Calculator

Solution

The third proportional to 52.50 and 81.50 is: 126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 81.50 = 81.50 : x
  2. Step 2: Convert to fraction form
    52.50/81.50 = 81.50/x
  3. Step 3: Cross multiply
    52.50x = 81.50 × 81.50
  4. Step 4: Simplify right side
    52.50x = 6,642.25
  5. Step 5: Solve for x
    x = 6,642.25/52.50
  6. Step 6: Final answer
    x = 126.52

Related Problems

Find third proportional to 26.25 and 40.75
Half scale
Find third proportional to 105 and 163
Double scale
Find third proportional to 55 and 85
Similar ratio
Find third proportional to 78.75 and 122.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.