Home / 2,042-2,219

Finding the Third Proportional to 2,042 and 2,219

Calculator

Solution

The third proportional to 2,042 and 2,219 is: 2,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 2,219 = 2,219 : x
  2. Step 2: Convert to fraction form
    2,042/2,219 = 2,219/x
  3. Step 3: Cross multiply
    2,042x = 2,219 × 2,219
  4. Step 4: Simplify right side
    2,042x = 4,923,961
  5. Step 5: Solve for x
    x = 4,923,961/2,042
  6. Step 6: Final answer
    x = 2,411.34

Related Problems

Find third proportional to 1,021 and 1,109.50
Half scale
Find third proportional to 4,084 and 4,438
Double scale
Find third proportional to 2,044 and 2,221
Similar ratio
Find third proportional to 3,063 and 3,328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.