Home / 21,811-47,590

Finding the Third Proportional to 21,811 and 47,590

Calculator

Solution

The third proportional to 21,811 and 47,590 is: 103,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811 : 47,590 = 47,590 : x
  2. Step 2: Convert to fraction form
    21,811/47,590 = 47,590/x
  3. Step 3: Cross multiply
    21,811x = 47,590 × 47,590
  4. Step 4: Simplify right side
    21,811x = 2,264,808,100
  5. Step 5: Solve for x
    x = 2,264,808,100/21,811
  6. Step 6: Final answer
    x = 103,837.88

Related Problems

Find third proportional to 10,905.50 and 23,795
Half scale
Find third proportional to 43,622 and 95,180
Double scale
Find third proportional to 21,813 and 47,594
Similar ratio
Find third proportional to 32,716.50 and 71,385
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.