Home / 32,176-69,698

Finding the Third Proportional to 32,176 and 69,698

Calculator

Solution

The third proportional to 32,176 and 69,698 is: 150,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176 : 69,698 = 69,698 : x
  2. Step 2: Convert to fraction form
    32,176/69,698 = 69,698/x
  3. Step 3: Cross multiply
    32,176x = 69,698 × 69,698
  4. Step 4: Simplify right side
    32,176x = 4,857,811,204
  5. Step 5: Solve for x
    x = 4,857,811,204/32,176
  6. Step 6: Final answer
    x = 150,976.23

Related Problems

Find third proportional to 16,088 and 34,849
Half scale
Find third proportional to 64,352 and 139,396
Double scale
Find third proportional to 32,178 and 69,702
Similar ratio
Find third proportional to 48,264 and 104,547
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.