Home / 21,950-51,784

Finding the Third Proportional to 21,950 and 51,784

Calculator

Solution

The third proportional to 21,950 and 51,784 is: 122,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950 : 51,784 = 51,784 : x
  2. Step 2: Convert to fraction form
    21,950/51,784 = 51,784/x
  3. Step 3: Cross multiply
    21,950x = 51,784 × 51,784
  4. Step 4: Simplify right side
    21,950x = 2,681,582,656
  5. Step 5: Solve for x
    x = 2,681,582,656/21,950
  6. Step 6: Final answer
    x = 122,167.77

Related Problems

Find third proportional to 10,975 and 25,892
Half scale
Find third proportional to 43,900 and 103,568
Double scale
Find third proportional to 21,952 and 51,789
Similar ratio
Find third proportional to 32,925 and 77,676
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.