Home / 41,082-86,309

Finding the Third Proportional to 41,082 and 86,309

Calculator

Solution

The third proportional to 41,082 and 86,309 is: 181,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082 : 86,309 = 86,309 : x
  2. Step 2: Convert to fraction form
    41,082/86,309 = 86,309/x
  3. Step 3: Cross multiply
    41,082x = 86,309 × 86,309
  4. Step 4: Simplify right side
    41,082x = 7,449,243,481
  5. Step 5: Solve for x
    x = 7,449,243,481/41,082
  6. Step 6: Final answer
    x = 181,326.21

Related Problems

Find third proportional to 20,541 and 43,154.50
Half scale
Find third proportional to 82,164 and 172,618
Double scale
Find third proportional to 41,084 and 86,313
Similar ratio
Find third proportional to 61,623 and 129,463.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.