Home / 410,840-631,212

Finding the Third Proportional to 410,840 and 631,212

Calculator

Solution

The third proportional to 410,840 and 631,212 is: 969,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,840 : 631,212 = 631,212 : x
  2. Step 2: Convert to fraction form
    410,840/631,212 = 631,212/x
  3. Step 3: Cross multiply
    410,840x = 631,212 × 631,212
  4. Step 4: Simplify right side
    410,840x = 398,428,588,944
  5. Step 5: Solve for x
    x = 398,428,588,944/410,840
  6. Step 6: Final answer
    x = 969,790.16

Related Problems

Find third proportional to 205,420 and 315,606
Half scale
Find third proportional to 821,680 and 1,262,424
Double scale
Find third proportional to 410,842 and 631,215
Similar ratio
Find third proportional to 616,260 and 946,818
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.