Home / 32,704-69,224

Finding the Third Proportional to 32,704 and 69,224

Calculator

Solution

The third proportional to 32,704 and 69,224 is: 146,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,704 : 69,224 = 69,224 : x
  2. Step 2: Convert to fraction form
    32,704/69,224 = 69,224/x
  3. Step 3: Cross multiply
    32,704x = 69,224 × 69,224
  4. Step 4: Simplify right side
    32,704x = 4,791,962,176
  5. Step 5: Solve for x
    x = 4,791,962,176/32,704
  6. Step 6: Final answer
    x = 146,525.26

Related Problems

Find third proportional to 16,352 and 34,612
Half scale
Find third proportional to 65,408 and 138,448
Double scale
Find third proportional to 32,706 and 69,228
Similar ratio
Find third proportional to 49,056 and 103,836
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.