Home / 380,160-823,057

Finding the Third Proportional to 380,160 and 823,057

Calculator

Solution

The third proportional to 380,160 and 823,057 is: 1,781,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,160 : 823,057 = 823,057 : x
  2. Step 2: Convert to fraction form
    380,160/823,057 = 823,057/x
  3. Step 3: Cross multiply
    380,160x = 823,057 × 823,057
  4. Step 4: Simplify right side
    380,160x = 677,422,825,249
  5. Step 5: Solve for x
    x = 677,422,825,249/380,160
  6. Step 6: Final answer
    x = 1,781,941.35

Related Problems

Find third proportional to 190,080 and 411,528.50
Half scale
Find third proportional to 760,320 and 1,646,114
Double scale
Find third proportional to 380,162 and 823,061
Similar ratio
Find third proportional to 570,240 and 1,234,585.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.