Home / 310,079-420,821

Finding the Third Proportional to 310,079 and 420,821

Calculator

Solution

The third proportional to 310,079 and 420,821 is: 571,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,079 : 420,821 = 420,821 : x
  2. Step 2: Convert to fraction form
    310,079/420,821 = 420,821/x
  3. Step 3: Cross multiply
    310,079x = 420,821 × 420,821
  4. Step 4: Simplify right side
    310,079x = 177,090,314,041
  5. Step 5: Solve for x
    x = 177,090,314,041/310,079
  6. Step 6: Final answer
    x = 571,113.54

Related Problems

Find third proportional to 155,039.50 and 210,410.50
Half scale
Find third proportional to 620,158 and 841,642
Double scale
Find third proportional to 310,081 and 420,824
Similar ratio
Find third proportional to 465,118.50 and 631,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.