Home / 82,182-120,348

Finding the Third Proportional to 82,182 and 120,348

Calculator

Solution

The third proportional to 82,182 and 120,348 is: 176,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,182 : 120,348 = 120,348 : x
  2. Step 2: Convert to fraction form
    82,182/120,348 = 120,348/x
  3. Step 3: Cross multiply
    82,182x = 120,348 × 120,348
  4. Step 4: Simplify right side
    82,182x = 14,483,641,104
  5. Step 5: Solve for x
    x = 14,483,641,104/82,182
  6. Step 6: Final answer
    x = 176,238.61

Related Problems

Find third proportional to 41,091 and 60,174
Half scale
Find third proportional to 164,364 and 240,696
Double scale
Find third proportional to 82,184 and 120,351
Similar ratio
Find third proportional to 123,273 and 180,522
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.