Home / 19,197-21,969

Finding the Third Proportional to 19,197 and 21,969

Calculator

Solution

The third proportional to 19,197 and 21,969 is: 25,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 21,969 = 21,969 : x
  2. Step 2: Convert to fraction form
    19,197/21,969 = 21,969/x
  3. Step 3: Cross multiply
    19,197x = 21,969 × 21,969
  4. Step 4: Simplify right side
    19,197x = 482,636,961
  5. Step 5: Solve for x
    x = 482,636,961/19,197
  6. Step 6: Final answer
    x = 25,141.27

Related Problems

Find third proportional to 9,598.50 and 10,984.50
Half scale
Find third proportional to 38,394 and 43,938
Double scale
Find third proportional to 19,199 and 21,971
Similar ratio
Find third proportional to 28,795.50 and 32,953.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.