Home / 196,920-431,961

Finding the Third Proportional to 196,920 and 431,961

Calculator

Solution

The third proportional to 196,920 and 431,961 is: 947,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,920 : 431,961 = 431,961 : x
  2. Step 2: Convert to fraction form
    196,920/431,961 = 431,961/x
  3. Step 3: Cross multiply
    196,920x = 431,961 × 431,961
  4. Step 4: Simplify right side
    196,920x = 186,590,305,521
  5. Step 5: Solve for x
    x = 186,590,305,521/196,920
  6. Step 6: Final answer
    x = 947,543.70

Related Problems

Find third proportional to 98,460 and 215,980.50
Half scale
Find third proportional to 393,840 and 863,922
Double scale
Find third proportional to 196,922 and 431,965
Similar ratio
Find third proportional to 295,380 and 647,941.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.