Home / 10,354-14,636

Finding the Third Proportional to 10,354 and 14,636

Calculator

Solution

The third proportional to 10,354 and 14,636 is: 20,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354 : 14,636 = 14,636 : x
  2. Step 2: Convert to fraction form
    10,354/14,636 = 14,636/x
  3. Step 3: Cross multiply
    10,354x = 14,636 × 14,636
  4. Step 4: Simplify right side
    10,354x = 214,212,496
  5. Step 5: Solve for x
    x = 214,212,496/10,354
  6. Step 6: Final answer
    x = 20,688.86

Related Problems

Find third proportional to 5,177 and 7,318
Half scale
Find third proportional to 20,708 and 29,272
Double scale
Find third proportional to 10,356 and 14,639
Similar ratio
Find third proportional to 15,531 and 21,954
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.