Home / 315,219-684,019

Finding the Third Proportional to 315,219 and 684,019

Calculator

Solution

The third proportional to 315,219 and 684,019 is: 1,484,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,219 : 684,019 = 684,019 : x
  2. Step 2: Convert to fraction form
    315,219/684,019 = 684,019/x
  3. Step 3: Cross multiply
    315,219x = 684,019 × 684,019
  4. Step 4: Simplify right side
    315,219x = 467,881,992,361
  5. Step 5: Solve for x
    x = 467,881,992,361/315,219
  6. Step 6: Final answer
    x = 1,484,307.71

Related Problems

Find third proportional to 157,609.50 and 342,009.50
Half scale
Find third proportional to 630,438 and 1,368,038
Double scale
Find third proportional to 315,221 and 684,023
Similar ratio
Find third proportional to 472,828.50 and 1,026,028.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.