Home / 378,148-585,456

Finding the Third Proportional to 378,148 and 585,456

Calculator

Solution

The third proportional to 378,148 and 585,456 is: 906,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,148 : 585,456 = 585,456 : x
  2. Step 2: Convert to fraction form
    378,148/585,456 = 585,456/x
  3. Step 3: Cross multiply
    378,148x = 585,456 × 585,456
  4. Step 4: Simplify right side
    378,148x = 342,758,727,936
  5. Step 5: Solve for x
    x = 342,758,727,936/378,148
  6. Step 6: Final answer
    x = 906,414.23

Related Problems

Find third proportional to 189,074 and 292,728
Half scale
Find third proportional to 756,296 and 1,170,912
Double scale
Find third proportional to 378,150 and 585,459
Similar ratio
Find third proportional to 567,222 and 878,184
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.