Home / 65,512-138,824

Finding the Third Proportional to 65,512 and 138,824

Calculator

Solution

The third proportional to 65,512 and 138,824 is: 294,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512 : 138,824 = 138,824 : x
  2. Step 2: Convert to fraction form
    65,512/138,824 = 138,824/x
  3. Step 3: Cross multiply
    65,512x = 138,824 × 138,824
  4. Step 4: Simplify right side
    65,512x = 19,272,102,976
  5. Step 5: Solve for x
    x = 19,272,102,976/65,512
  6. Step 6: Final answer
    x = 294,176.68

Related Problems

Find third proportional to 32,756 and 69,412
Half scale
Find third proportional to 131,024 and 277,648
Double scale
Find third proportional to 65,514 and 138,828
Similar ratio
Find third proportional to 98,268 and 208,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.