Home / 199,959-472,032

Finding the Third Proportional to 199,959 and 472,032

Calculator

Solution

The third proportional to 199,959 and 472,032 is: 1,114,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,959 : 472,032 = 472,032 : x
  2. Step 2: Convert to fraction form
    199,959/472,032 = 472,032/x
  3. Step 3: Cross multiply
    199,959x = 472,032 × 472,032
  4. Step 4: Simplify right side
    199,959x = 222,814,209,024
  5. Step 5: Solve for x
    x = 222,814,209,024/199,959
  6. Step 6: Final answer
    x = 1,114,299.48

Related Problems

Find third proportional to 99,979.50 and 236,016
Half scale
Find third proportional to 399,918 and 944,064
Double scale
Find third proportional to 199,961 and 472,037
Similar ratio
Find third proportional to 299,938.50 and 708,048
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.