Home / 10,864-12,646

Finding the Third Proportional to 10,864 and 12,646

Calculator

Solution

The third proportional to 10,864 and 12,646 is: 14,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864 : 12,646 = 12,646 : x
  2. Step 2: Convert to fraction form
    10,864/12,646 = 12,646/x
  3. Step 3: Cross multiply
    10,864x = 12,646 × 12,646
  4. Step 4: Simplify right side
    10,864x = 159,921,316
  5. Step 5: Solve for x
    x = 159,921,316/10,864
  6. Step 6: Final answer
    x = 14,720.30

Related Problems

Find third proportional to 5,432 and 6,323
Half scale
Find third proportional to 21,728 and 25,292
Double scale
Find third proportional to 10,866 and 12,648
Similar ratio
Find third proportional to 16,296 and 18,969
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.