Home / 133,146-289,620

Finding the Third Proportional to 133,146 and 289,620

Calculator

Solution

The third proportional to 133,146 and 289,620 is: 629,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,146 : 289,620 = 289,620 : x
  2. Step 2: Convert to fraction form
    133,146/289,620 = 289,620/x
  3. Step 3: Cross multiply
    133,146x = 289,620 × 289,620
  4. Step 4: Simplify right side
    133,146x = 83,879,744,400
  5. Step 5: Solve for x
    x = 83,879,744,400/133,146
  6. Step 6: Final answer
    x = 629,983.21

Related Problems

Find third proportional to 66,573 and 144,810
Half scale
Find third proportional to 266,292 and 579,240
Double scale
Find third proportional to 133,148 and 289,624
Similar ratio
Find third proportional to 199,719 and 434,430
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.