Home / 14,200-21,309

Finding the Third Proportional to 14,200 and 21,309

Calculator

Solution

The third proportional to 14,200 and 21,309 is: 31,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200 : 21,309 = 21,309 : x
  2. Step 2: Convert to fraction form
    14,200/21,309 = 21,309/x
  3. Step 3: Cross multiply
    14,200x = 21,309 × 21,309
  4. Step 4: Simplify right side
    14,200x = 454,073,481
  5. Step 5: Solve for x
    x = 454,073,481/14,200
  6. Step 6: Final answer
    x = 31,977.01

Related Problems

Find third proportional to 7,100 and 10,654.50
Half scale
Find third proportional to 28,400 and 42,618
Double scale
Find third proportional to 14,202 and 21,312
Similar ratio
Find third proportional to 21,300 and 31,963.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.