Home / 188,312-413,948

Finding the Third Proportional to 188,312 and 413,948

Calculator

Solution

The third proportional to 188,312 and 413,948 is: 909,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,312 : 413,948 = 413,948 : x
  2. Step 2: Convert to fraction form
    188,312/413,948 = 413,948/x
  3. Step 3: Cross multiply
    188,312x = 413,948 × 413,948
  4. Step 4: Simplify right side
    188,312x = 171,352,946,704
  5. Step 5: Solve for x
    x = 171,352,946,704/188,312
  6. Step 6: Final answer
    x = 909,941.73

Related Problems

Find third proportional to 94,156 and 206,974
Half scale
Find third proportional to 376,624 and 827,896
Double scale
Find third proportional to 188,314 and 413,952
Similar ratio
Find third proportional to 282,468 and 620,922
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.