Home / 32.12-51.10

Finding the Third Proportional to 32.12 and 51.10

Calculator

Solution

The third proportional to 32.12 and 51.10 is: 81.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.12 : 51.10 = 51.10 : x
  2. Step 2: Convert to fraction form
    32.12/51.10 = 51.10/x
  3. Step 3: Cross multiply
    32.12x = 51.10 × 51.10
  4. Step 4: Simplify right side
    32.12x = 2,611.17
  5. Step 5: Solve for x
    x = 2,611.17/32.12
  6. Step 6: Final answer
    x = 81.31

Related Problems

Find third proportional to 16.06 and 25.55
Half scale
Find third proportional to 64.23 and 102.20
Double scale
Find third proportional to 34 and 54
Similar ratio
Find third proportional to 48.17 and 76.65
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.