Home / 10,204-21,523

Finding the Third Proportional to 10,204 and 21,523

Calculator

Solution

The third proportional to 10,204 and 21,523 is: 45,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 21,523 = 21,523 : x
  2. Step 2: Convert to fraction form
    10,204/21,523 = 21,523/x
  3. Step 3: Cross multiply
    10,204x = 21,523 × 21,523
  4. Step 4: Simplify right side
    10,204x = 463,239,529
  5. Step 5: Solve for x
    x = 463,239,529/10,204
  6. Step 6: Final answer
    x = 45,397.84

Related Problems

Find third proportional to 5,102 and 10,761.50
Half scale
Find third proportional to 20,408 and 43,046
Double scale
Find third proportional to 10,206 and 21,527
Similar ratio
Find third proportional to 15,306 and 32,284.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.