Home / 12,464-20,772

Finding the Third Proportional to 12,464 and 20,772

Calculator

Solution

The third proportional to 12,464 and 20,772 is: 34,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464 : 20,772 = 20,772 : x
  2. Step 2: Convert to fraction form
    12,464/20,772 = 20,772/x
  3. Step 3: Cross multiply
    12,464x = 20,772 × 20,772
  4. Step 4: Simplify right side
    12,464x = 431,475,984
  5. Step 5: Solve for x
    x = 431,475,984/12,464
  6. Step 6: Final answer
    x = 34,617.78

Related Problems

Find third proportional to 6,232 and 10,386
Half scale
Find third proportional to 24,928 and 41,544
Double scale
Find third proportional to 12,466 and 20,775
Similar ratio
Find third proportional to 18,696 and 31,158
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.