Home / 222,810-463,974

Finding the Third Proportional to 222,810 and 463,974

Calculator

Solution

The third proportional to 222,810 and 463,974 is: 966,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,810 : 463,974 = 463,974 : x
  2. Step 2: Convert to fraction form
    222,810/463,974 = 463,974/x
  3. Step 3: Cross multiply
    222,810x = 463,974 × 463,974
  4. Step 4: Simplify right side
    222,810x = 215,271,872,676
  5. Step 5: Solve for x
    x = 215,271,872,676/222,810
  6. Step 6: Final answer
    x = 966,167.91

Related Problems

Find third proportional to 111,405 and 231,987
Half scale
Find third proportional to 445,620 and 927,948
Double scale
Find third proportional to 222,812 and 463,978
Similar ratio
Find third proportional to 334,215 and 695,961
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.