Home / 29,820-41,082

Finding the Third Proportional to 29,820 and 41,082

Calculator

Solution

The third proportional to 29,820 and 41,082 is: 56,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820 : 41,082 = 41,082 : x
  2. Step 2: Convert to fraction form
    29,820/41,082 = 41,082/x
  3. Step 3: Cross multiply
    29,820x = 41,082 × 41,082
  4. Step 4: Simplify right side
    29,820x = 1,687,730,724
  5. Step 5: Solve for x
    x = 1,687,730,724/29,820
  6. Step 6: Final answer
    x = 56,597.27

Related Problems

Find third proportional to 14,910 and 20,541
Half scale
Find third proportional to 59,640 and 82,164
Double scale
Find third proportional to 29,822 and 41,085
Similar ratio
Find third proportional to 44,730 and 61,623
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.