Home / 197,973-431,678

Finding the Third Proportional to 197,973 and 431,678

Calculator

Solution

The third proportional to 197,973 and 431,678 is: 941,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,973 : 431,678 = 431,678 : x
  2. Step 2: Convert to fraction form
    197,973/431,678 = 431,678/x
  3. Step 3: Cross multiply
    197,973x = 431,678 × 431,678
  4. Step 4: Simplify right side
    197,973x = 186,345,895,684
  5. Step 5: Solve for x
    x = 186,345,895,684/197,973
  6. Step 6: Final answer
    x = 941,269.24

Related Problems

Find third proportional to 98,986.50 and 215,839
Half scale
Find third proportional to 395,946 and 863,356
Double scale
Find third proportional to 197,975 and 431,682
Similar ratio
Find third proportional to 296,959.50 and 647,517
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.