Home / 14,533-20,465

Finding the Third Proportional to 14,533 and 20,465

Calculator

Solution

The third proportional to 14,533 and 20,465 is: 28,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533 : 20,465 = 20,465 : x
  2. Step 2: Convert to fraction form
    14,533/20,465 = 20,465/x
  3. Step 3: Cross multiply
    14,533x = 20,465 × 20,465
  4. Step 4: Simplify right side
    14,533x = 418,816,225
  5. Step 5: Solve for x
    x = 418,816,225/14,533
  6. Step 6: Final answer
    x = 28,818.29

Related Problems

Find third proportional to 7,266.50 and 10,232.50
Half scale
Find third proportional to 29,066 and 40,930
Double scale
Find third proportional to 14,535 and 20,468
Similar ratio
Find third proportional to 21,799.50 and 30,697.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.