Home / 10,069-19,219

Finding the Third Proportional to 10,069 and 19,219

Calculator

Solution

The third proportional to 10,069 and 19,219 is: 36,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 19,219 = 19,219 : x
  2. Step 2: Convert to fraction form
    10,069/19,219 = 19,219/x
  3. Step 3: Cross multiply
    10,069x = 19,219 × 19,219
  4. Step 4: Simplify right side
    10,069x = 369,369,961
  5. Step 5: Solve for x
    x = 369,369,961/10,069
  6. Step 6: Final answer
    x = 36,683.88

Related Problems

Find third proportional to 5,034.50 and 9,609.50
Half scale
Find third proportional to 20,138 and 38,438
Double scale
Find third proportional to 10,071 and 19,223
Similar ratio
Find third proportional to 15,103.50 and 28,828.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.