Home / 204,000-286,768

Finding the Third Proportional to 204,000 and 286,768

Calculator

Solution

The third proportional to 204,000 and 286,768 is: 403,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,000 : 286,768 = 286,768 : x
  2. Step 2: Convert to fraction form
    204,000/286,768 = 286,768/x
  3. Step 3: Cross multiply
    204,000x = 286,768 × 286,768
  4. Step 4: Simplify right side
    204,000x = 82,235,885,824
  5. Step 5: Solve for x
    x = 82,235,885,824/204,000
  6. Step 6: Final answer
    x = 403,117.09

Related Problems

Find third proportional to 102,000 and 143,384
Half scale
Find third proportional to 408,000 and 573,536
Double scale
Find third proportional to 204,002 and 286,771
Similar ratio
Find third proportional to 306,000 and 430,152
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.