Home / 21,814-47,596

Finding the Third Proportional to 21,814 and 47,596

Calculator

Solution

The third proportional to 21,814 and 47,596 is: 103,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814 : 47,596 = 47,596 : x
  2. Step 2: Convert to fraction form
    21,814/47,596 = 47,596/x
  3. Step 3: Cross multiply
    21,814x = 47,596 × 47,596
  4. Step 4: Simplify right side
    21,814x = 2,265,379,216
  5. Step 5: Solve for x
    x = 2,265,379,216/21,814
  6. Step 6: Final answer
    x = 103,849.79

Related Problems

Find third proportional to 10,907 and 23,798
Half scale
Find third proportional to 43,628 and 95,192
Double scale
Find third proportional to 21,816 and 47,600
Similar ratio
Find third proportional to 32,721 and 71,394
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.