Home / 223,816-457,974

Finding the Third Proportional to 223,816 and 457,974

Calculator

Solution

The third proportional to 223,816 and 457,974 is: 937,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,816 : 457,974 = 457,974 : x
  2. Step 2: Convert to fraction form
    223,816/457,974 = 457,974/x
  3. Step 3: Cross multiply
    223,816x = 457,974 × 457,974
  4. Step 4: Simplify right side
    223,816x = 209,740,184,676
  5. Step 5: Solve for x
    x = 209,740,184,676/223,816
  6. Step 6: Final answer
    x = 937,109.88

Related Problems

Find third proportional to 111,908 and 228,987
Half scale
Find third proportional to 447,632 and 915,948
Double scale
Find third proportional to 223,818 and 457,978
Similar ratio
Find third proportional to 335,724 and 686,961
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.