Home / 212,320-464,019

Finding the Third Proportional to 212,320 and 464,019

Calculator

Solution

The third proportional to 212,320 and 464,019 is: 1,014,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,320 : 464,019 = 464,019 : x
  2. Step 2: Convert to fraction form
    212,320/464,019 = 464,019/x
  3. Step 3: Cross multiply
    212,320x = 464,019 × 464,019
  4. Step 4: Simplify right side
    212,320x = 215,313,632,361
  5. Step 5: Solve for x
    x = 215,313,632,361/212,320
  6. Step 6: Final answer
    x = 1,014,099.62

Related Problems

Find third proportional to 106,160 and 232,009.50
Half scale
Find third proportional to 424,640 and 928,038
Double scale
Find third proportional to 212,322 and 464,023
Similar ratio
Find third proportional to 318,480 and 696,028.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.