Home / 407,858-827,108

Finding the Third Proportional to 407,858 and 827,108

Calculator

Solution

The third proportional to 407,858 and 827,108 is: 1,677,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,858 : 827,108 = 827,108 : x
  2. Step 2: Convert to fraction form
    407,858/827,108 = 827,108/x
  3. Step 3: Cross multiply
    407,858x = 827,108 × 827,108
  4. Step 4: Simplify right side
    407,858x = 684,107,643,664
  5. Step 5: Solve for x
    x = 684,107,643,664/407,858
  6. Step 6: Final answer
    x = 1,677,318.19

Related Problems

Find third proportional to 203,929 and 413,554
Half scale
Find third proportional to 815,716 and 1,654,216
Double scale
Find third proportional to 407,860 and 827,112
Similar ratio
Find third proportional to 611,787 and 1,240,662
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.