Home / 21,816-47,084

Finding the Third Proportional to 21,816 and 47,084

Calculator

Solution

The third proportional to 21,816 and 47,084 is: 101,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816 : 47,084 = 47,084 : x
  2. Step 2: Convert to fraction form
    21,816/47,084 = 47,084/x
  3. Step 3: Cross multiply
    21,816x = 47,084 × 47,084
  4. Step 4: Simplify right side
    21,816x = 2,216,903,056
  5. Step 5: Solve for x
    x = 2,216,903,056/21,816
  6. Step 6: Final answer
    x = 101,618.22

Related Problems

Find third proportional to 10,908 and 23,542
Half scale
Find third proportional to 43,632 and 94,168
Double scale
Find third proportional to 21,818 and 47,088
Similar ratio
Find third proportional to 32,724 and 70,626
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.