Home / 81,822-178,206

Finding the Third Proportional to 81,822 and 178,206

Calculator

Solution

The third proportional to 81,822 and 178,206 is: 388,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,822 : 178,206 = 178,206 : x
  2. Step 2: Convert to fraction form
    81,822/178,206 = 178,206/x
  3. Step 3: Cross multiply
    81,822x = 178,206 × 178,206
  4. Step 4: Simplify right side
    81,822x = 31,757,378,436
  5. Step 5: Solve for x
    x = 31,757,378,436/81,822
  6. Step 6: Final answer
    x = 388,127.62

Related Problems

Find third proportional to 40,911 and 89,103
Half scale
Find third proportional to 163,644 and 356,412
Double scale
Find third proportional to 81,824 and 178,210
Similar ratio
Find third proportional to 122,733 and 267,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.