Home / 10,942-16,409

Finding the Third Proportional to 10,942 and 16,409

Calculator

Solution

The third proportional to 10,942 and 16,409 is: 24,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942 : 16,409 = 16,409 : x
  2. Step 2: Convert to fraction form
    10,942/16,409 = 16,409/x
  3. Step 3: Cross multiply
    10,942x = 16,409 × 16,409
  4. Step 4: Simplify right side
    10,942x = 269,255,281
  5. Step 5: Solve for x
    x = 269,255,281/10,942
  6. Step 6: Final answer
    x = 24,607.50

Related Problems

Find third proportional to 5,471 and 8,204.50
Half scale
Find third proportional to 21,884 and 32,818
Double scale
Find third proportional to 10,944 and 16,412
Similar ratio
Find third proportional to 16,413 and 24,613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.