Home / 83,474-181,102

Finding the Third Proportional to 83,474 and 181,102

Calculator

Solution

The third proportional to 83,474 and 181,102 is: 392,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,474 : 181,102 = 181,102 : x
  2. Step 2: Convert to fraction form
    83,474/181,102 = 181,102/x
  3. Step 3: Cross multiply
    83,474x = 181,102 × 181,102
  4. Step 4: Simplify right side
    83,474x = 32,797,934,404
  5. Step 5: Solve for x
    x = 32,797,934,404/83,474
  6. Step 6: Final answer
    x = 392,911.98

Related Problems

Find third proportional to 41,737 and 90,551
Half scale
Find third proportional to 166,948 and 362,204
Double scale
Find third proportional to 83,476 and 181,106
Similar ratio
Find third proportional to 125,211 and 271,653
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.