Home / 14,596-21,680

Finding the Third Proportional to 14,596 and 21,680

Calculator

Solution

The third proportional to 14,596 and 21,680 is: 32,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596 : 21,680 = 21,680 : x
  2. Step 2: Convert to fraction form
    14,596/21,680 = 21,680/x
  3. Step 3: Cross multiply
    14,596x = 21,680 × 21,680
  4. Step 4: Simplify right side
    14,596x = 470,022,400
  5. Step 5: Solve for x
    x = 470,022,400/14,596
  6. Step 6: Final answer
    x = 32,202.14

Related Problems

Find third proportional to 7,298 and 10,840
Half scale
Find third proportional to 29,192 and 43,360
Double scale
Find third proportional to 14,598 and 21,683
Similar ratio
Find third proportional to 21,894 and 32,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.