Home / 205,926-377,680

Finding the Third Proportional to 205,926 and 377,680

Calculator

Solution

The third proportional to 205,926 and 377,680 is: 692,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,926 : 377,680 = 377,680 : x
  2. Step 2: Convert to fraction form
    205,926/377,680 = 377,680/x
  3. Step 3: Cross multiply
    205,926x = 377,680 × 377,680
  4. Step 4: Simplify right side
    205,926x = 142,642,182,400
  5. Step 5: Solve for x
    x = 142,642,182,400/205,926
  6. Step 6: Final answer
    x = 692,686.61

Related Problems

Find third proportional to 102,963 and 188,840
Half scale
Find third proportional to 411,852 and 755,360
Double scale
Find third proportional to 205,928 and 377,684
Similar ratio
Find third proportional to 308,889 and 566,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.