Home / 82,096-177,289

Finding the Third Proportional to 82,096 and 177,289

Calculator

Solution

The third proportional to 82,096 and 177,289 is: 382,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,096 : 177,289 = 177,289 : x
  2. Step 2: Convert to fraction form
    82,096/177,289 = 177,289/x
  3. Step 3: Cross multiply
    82,096x = 177,289 × 177,289
  4. Step 4: Simplify right side
    82,096x = 31,431,389,521
  5. Step 5: Solve for x
    x = 31,431,389,521/82,096
  6. Step 6: Final answer
    x = 382,861.40

Related Problems

Find third proportional to 41,048 and 88,644.50
Half scale
Find third proportional to 164,192 and 354,578
Double scale
Find third proportional to 82,098 and 177,293
Similar ratio
Find third proportional to 123,144 and 265,933.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.