Home / 32,508-69,624

Finding the Third Proportional to 32,508 and 69,624

Calculator

Solution

The third proportional to 32,508 and 69,624 is: 149,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508 : 69,624 = 69,624 : x
  2. Step 2: Convert to fraction form
    32,508/69,624 = 69,624/x
  3. Step 3: Cross multiply
    32,508x = 69,624 × 69,624
  4. Step 4: Simplify right side
    32,508x = 4,847,501,376
  5. Step 5: Solve for x
    x = 4,847,501,376/32,508
  6. Step 6: Final answer
    x = 149,117.18

Related Problems

Find third proportional to 16,254 and 34,812
Half scale
Find third proportional to 65,016 and 139,248
Double scale
Find third proportional to 32,510 and 69,628
Similar ratio
Find third proportional to 48,762 and 104,436
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.