Home / 106,036-163,974

Finding the Third Proportional to 106,036 and 163,974

Calculator

Solution

The third proportional to 106,036 and 163,974 is: 253,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,036 : 163,974 = 163,974 : x
  2. Step 2: Convert to fraction form
    106,036/163,974 = 163,974/x
  3. Step 3: Cross multiply
    106,036x = 163,974 × 163,974
  4. Step 4: Simplify right side
    106,036x = 26,887,472,676
  5. Step 5: Solve for x
    x = 26,887,472,676/106,036
  6. Step 6: Final answer
    x = 253,569.28

Related Problems

Find third proportional to 53,018 and 81,987
Half scale
Find third proportional to 212,072 and 327,948
Double scale
Find third proportional to 106,038 and 163,977
Similar ratio
Find third proportional to 159,054 and 245,961
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.