Home / 218,131-461,412

Finding the Third Proportional to 218,131 and 461,412

Calculator

Solution

The third proportional to 218,131 and 461,412 is: 976,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,131 : 461,412 = 461,412 : x
  2. Step 2: Convert to fraction form
    218,131/461,412 = 461,412/x
  3. Step 3: Cross multiply
    218,131x = 461,412 × 461,412
  4. Step 4: Simplify right side
    218,131x = 212,901,033,744
  5. Step 5: Solve for x
    x = 212,901,033,744/218,131
  6. Step 6: Final answer
    x = 976,023.74

Related Problems

Find third proportional to 109,065.50 and 230,706
Half scale
Find third proportional to 436,262 and 922,824
Double scale
Find third proportional to 218,133 and 461,416
Similar ratio
Find third proportional to 327,196.50 and 692,118
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.