Home / 21,984-51,862

Finding the Third Proportional to 21,984 and 51,862

Calculator

Solution

The third proportional to 21,984 and 51,862 is: 122,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 51,862 = 51,862 : x
  2. Step 2: Convert to fraction form
    21,984/51,862 = 51,862/x
  3. Step 3: Cross multiply
    21,984x = 51,862 × 51,862
  4. Step 4: Simplify right side
    21,984x = 2,689,667,044
  5. Step 5: Solve for x
    x = 2,689,667,044/21,984
  6. Step 6: Final answer
    x = 122,346.57

Related Problems

Find third proportional to 10,992 and 25,931
Half scale
Find third proportional to 43,968 and 103,724
Double scale
Find third proportional to 21,986 and 51,867
Similar ratio
Find third proportional to 32,976 and 77,793
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.