Home / 200,972-319,908

Finding the Third Proportional to 200,972 and 319,908

Calculator

Solution

The third proportional to 200,972 and 319,908 is: 509,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972 : 319,908 = 319,908 : x
  2. Step 2: Convert to fraction form
    200,972/319,908 = 319,908/x
  3. Step 3: Cross multiply
    200,972x = 319,908 × 319,908
  4. Step 4: Simplify right side
    200,972x = 102,341,128,464
  5. Step 5: Solve for x
    x = 102,341,128,464/200,972
  6. Step 6: Final answer
    x = 509,230.78

Related Problems

Find third proportional to 100,486 and 159,954
Half scale
Find third proportional to 401,944 and 639,816
Double scale
Find third proportional to 200,974 and 319,911
Similar ratio
Find third proportional to 301,458 and 479,862
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.