Home / 21,830-47,659

Finding the Third Proportional to 21,830 and 47,659

Calculator

Solution

The third proportional to 21,830 and 47,659 is: 104,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830 : 47,659 = 47,659 : x
  2. Step 2: Convert to fraction form
    21,830/47,659 = 47,659/x
  3. Step 3: Cross multiply
    21,830x = 47,659 × 47,659
  4. Step 4: Simplify right side
    21,830x = 2,271,380,281
  5. Step 5: Solve for x
    x = 2,271,380,281/21,830
  6. Step 6: Final answer
    x = 104,048.57

Related Problems

Find third proportional to 10,915 and 23,829.50
Half scale
Find third proportional to 43,660 and 95,318
Double scale
Find third proportional to 21,832 and 47,663
Similar ratio
Find third proportional to 32,745 and 71,488.50
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.