Home / 270,816-419,118

Finding the Third Proportional to 270,816 and 419,118

Calculator

Solution

The third proportional to 270,816 and 419,118 is: 648,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,816 : 419,118 = 419,118 : x
  2. Step 2: Convert to fraction form
    270,816/419,118 = 419,118/x
  3. Step 3: Cross multiply
    270,816x = 419,118 × 419,118
  4. Step 4: Simplify right side
    270,816x = 175,659,897,924
  5. Step 5: Solve for x
    x = 175,659,897,924/270,816
  6. Step 6: Final answer
    x = 648,631.90

Related Problems

Find third proportional to 135,408 and 209,559
Half scale
Find third proportional to 541,632 and 838,236
Double scale
Find third proportional to 270,818 and 419,121
Similar ratio
Find third proportional to 406,224 and 628,677
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.