Home / 32,137-69,206

Finding the Third Proportional to 32,137 and 69,206

Calculator

Solution

The third proportional to 32,137 and 69,206 is: 149,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137 : 69,206 = 69,206 : x
  2. Step 2: Convert to fraction form
    32,137/69,206 = 69,206/x
  3. Step 3: Cross multiply
    32,137x = 69,206 × 69,206
  4. Step 4: Simplify right side
    32,137x = 4,789,470,436
  5. Step 5: Solve for x
    x = 4,789,470,436/32,137
  6. Step 6: Final answer
    x = 149,032.90

Related Problems

Find third proportional to 16,068.50 and 34,603
Half scale
Find third proportional to 64,274 and 138,412
Double scale
Find third proportional to 32,139 and 69,210
Similar ratio
Find third proportional to 48,205.50 and 103,809
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.