Home / 66,830-139,171

Finding the Third Proportional to 66,830 and 139,171

Calculator

Solution

The third proportional to 66,830 and 139,171 is: 289,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830 : 139,171 = 139,171 : x
  2. Step 2: Convert to fraction form
    66,830/139,171 = 139,171/x
  3. Step 3: Cross multiply
    66,830x = 139,171 × 139,171
  4. Step 4: Simplify right side
    66,830x = 19,368,567,241
  5. Step 5: Solve for x
    x = 19,368,567,241/66,830
  6. Step 6: Final answer
    x = 289,818.45

Related Problems

Find third proportional to 33,415 and 69,585.50
Half scale
Find third proportional to 133,660 and 278,342
Double scale
Find third proportional to 66,832 and 139,175
Similar ratio
Find third proportional to 100,245 and 208,756.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.