Home / 32,710-71,324

Finding the Third Proportional to 32,710 and 71,324

Calculator

Solution

The third proportional to 32,710 and 71,324 is: 155,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710 : 71,324 = 71,324 : x
  2. Step 2: Convert to fraction form
    32,710/71,324 = 71,324/x
  3. Step 3: Cross multiply
    32,710x = 71,324 × 71,324
  4. Step 4: Simplify right side
    32,710x = 5,087,112,976
  5. Step 5: Solve for x
    x = 5,087,112,976/32,710
  6. Step 6: Final answer
    x = 155,521.64

Related Problems

Find third proportional to 16,355 and 35,662
Half scale
Find third proportional to 65,420 and 142,648
Double scale
Find third proportional to 32,712 and 71,328
Similar ratio
Find third proportional to 49,065 and 106,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.