Home / 221,680-343,954

Finding the Third Proportional to 221,680 and 343,954

Calculator

Solution

The third proportional to 221,680 and 343,954 is: 533,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680 : 343,954 = 343,954 : x
  2. Step 2: Convert to fraction form
    221,680/343,954 = 343,954/x
  3. Step 3: Cross multiply
    221,680x = 343,954 × 343,954
  4. Step 4: Simplify right side
    221,680x = 118,304,354,116
  5. Step 5: Solve for x
    x = 118,304,354,116/221,680
  6. Step 6: Final answer
    x = 533,671.75

Related Problems

Find third proportional to 110,840 and 171,977
Half scale
Find third proportional to 443,360 and 687,908
Double scale
Find third proportional to 221,682 and 343,957
Similar ratio
Find third proportional to 332,520 and 515,931
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.