Home / 8,964-12,905

Finding the Third Proportional to 8,964 and 12,905

Calculator

Solution

The third proportional to 8,964 and 12,905 is: 18,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 12,905 = 12,905 : x
  2. Step 2: Convert to fraction form
    8,964/12,905 = 12,905/x
  3. Step 3: Cross multiply
    8,964x = 12,905 × 12,905
  4. Step 4: Simplify right side
    8,964x = 166,539,025
  5. Step 5: Solve for x
    x = 166,539,025/8,964
  6. Step 6: Final answer
    x = 18,578.65

Related Problems

Find third proportional to 4,482 and 6,452.50
Half scale
Find third proportional to 17,928 and 25,810
Double scale
Find third proportional to 8,966 and 12,908
Similar ratio
Find third proportional to 13,446 and 19,357.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.