Home / 133,102-289,208

Finding the Third Proportional to 133,102 and 289,208

Calculator

Solution

The third proportional to 133,102 and 289,208 is: 628,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,102 : 289,208 = 289,208 : x
  2. Step 2: Convert to fraction form
    133,102/289,208 = 289,208/x
  3. Step 3: Cross multiply
    133,102x = 289,208 × 289,208
  4. Step 4: Simplify right side
    133,102x = 83,641,267,264
  5. Step 5: Solve for x
    x = 83,641,267,264/133,102
  6. Step 6: Final answer
    x = 628,399.78

Related Problems

Find third proportional to 66,551 and 144,604
Half scale
Find third proportional to 266,204 and 578,416
Double scale
Find third proportional to 133,104 and 289,212
Similar ratio
Find third proportional to 199,653 and 433,812
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.