Home / 149,888-321,143

Finding the Third Proportional to 149,888 and 321,143

Calculator

Solution

The third proportional to 149,888 and 321,143 is: 688,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,888 : 321,143 = 321,143 : x
  2. Step 2: Convert to fraction form
    149,888/321,143 = 321,143/x
  3. Step 3: Cross multiply
    149,888x = 321,143 × 321,143
  4. Step 4: Simplify right side
    149,888x = 103,132,826,449
  5. Step 5: Solve for x
    x = 103,132,826,449/149,888
  6. Step 6: Final answer
    x = 688,065.93

Related Problems

Find third proportional to 74,944 and 160,571.50
Half scale
Find third proportional to 299,776 and 642,286
Double scale
Find third proportional to 149,890 and 321,147
Similar ratio
Find third proportional to 224,832 and 481,714.50
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.