Home / 149,890-321,146

Finding the Third Proportional to 149,890 and 321,146

Calculator

Solution

The third proportional to 149,890 and 321,146 is: 688,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890 : 321,146 = 321,146 : x
  2. Step 2: Convert to fraction form
    149,890/321,146 = 321,146/x
  3. Step 3: Cross multiply
    149,890x = 321,146 × 321,146
  4. Step 4: Simplify right side
    149,890x = 103,134,753,316
  5. Step 5: Solve for x
    x = 103,134,753,316/149,890
  6. Step 6: Final answer
    x = 688,069.61

Related Problems

Find third proportional to 74,945 and 160,573
Half scale
Find third proportional to 299,780 and 642,292
Double scale
Find third proportional to 149,892 and 321,150
Similar ratio
Find third proportional to 224,835 and 481,719
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.