Home / 209,770-314,594

Finding the Third Proportional to 209,770 and 314,594

Calculator

Solution

The third proportional to 209,770 and 314,594 is: 471,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770 : 314,594 = 314,594 : x
  2. Step 2: Convert to fraction form
    209,770/314,594 = 314,594/x
  3. Step 3: Cross multiply
    209,770x = 314,594 × 314,594
  4. Step 4: Simplify right side
    209,770x = 98,969,384,836
  5. Step 5: Solve for x
    x = 98,969,384,836/209,770
  6. Step 6: Final answer
    x = 471,799.52

Related Problems

Find third proportional to 104,885 and 157,297
Half scale
Find third proportional to 419,540 and 629,188
Double scale
Find third proportional to 209,772 and 314,597
Similar ratio
Find third proportional to 314,655 and 471,891
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.