Home / 199,963-472,042

Finding the Third Proportional to 199,963 and 472,042

Calculator

Solution

The third proportional to 199,963 and 472,042 is: 1,114,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,963 : 472,042 = 472,042 : x
  2. Step 2: Convert to fraction form
    199,963/472,042 = 472,042/x
  3. Step 3: Cross multiply
    199,963x = 472,042 × 472,042
  4. Step 4: Simplify right side
    199,963x = 222,823,649,764
  5. Step 5: Solve for x
    x = 222,823,649,764/199,963
  6. Step 6: Final answer
    x = 1,114,324.40

Related Problems

Find third proportional to 99,981.50 and 236,021
Half scale
Find third proportional to 399,926 and 944,084
Double scale
Find third proportional to 199,965 and 472,047
Similar ratio
Find third proportional to 299,944.50 and 708,063
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.