Home / 209,804-316,448

Finding the Third Proportional to 209,804 and 316,448

Calculator

Solution

The third proportional to 209,804 and 316,448 is: 477,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,804 : 316,448 = 316,448 : x
  2. Step 2: Convert to fraction form
    209,804/316,448 = 316,448/x
  3. Step 3: Cross multiply
    209,804x = 316,448 × 316,448
  4. Step 4: Simplify right side
    209,804x = 100,139,336,704
  5. Step 5: Solve for x
    x = 100,139,336,704/209,804
  6. Step 6: Final answer
    x = 477,299.46

Related Problems

Find third proportional to 104,902 and 158,224
Half scale
Find third proportional to 419,608 and 632,896
Double scale
Find third proportional to 209,806 and 316,451
Similar ratio
Find third proportional to 314,706 and 474,672
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.