Home / 11,648-19,232

Finding the Third Proportional to 11,648 and 19,232

Calculator

Solution

The third proportional to 11,648 and 19,232 is: 31,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648 : 19,232 = 19,232 : x
  2. Step 2: Convert to fraction form
    11,648/19,232 = 19,232/x
  3. Step 3: Cross multiply
    11,648x = 19,232 × 19,232
  4. Step 4: Simplify right side
    11,648x = 369,869,824
  5. Step 5: Solve for x
    x = 369,869,824/11,648
  6. Step 6: Final answer
    x = 31,753.93

Related Problems

Find third proportional to 5,824 and 9,616
Half scale
Find third proportional to 23,296 and 38,464
Double scale
Find third proportional to 11,650 and 19,235
Similar ratio
Find third proportional to 17,472 and 28,848
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.