Home / 146,574-321,201

Finding the Third Proportional to 146,574 and 321,201

Calculator

Solution

The third proportional to 146,574 and 321,201 is: 703,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,574 : 321,201 = 321,201 : x
  2. Step 2: Convert to fraction form
    146,574/321,201 = 321,201/x
  3. Step 3: Cross multiply
    146,574x = 321,201 × 321,201
  4. Step 4: Simplify right side
    146,574x = 103,170,082,401
  5. Step 5: Solve for x
    x = 103,170,082,401/146,574
  6. Step 6: Final answer
    x = 703,877.10

Related Problems

Find third proportional to 73,287 and 160,600.50
Half scale
Find third proportional to 293,148 and 642,402
Double scale
Find third proportional to 146,576 and 321,205
Similar ratio
Find third proportional to 219,861 and 481,801.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.