Home / 49,648-106,304

Finding the Third Proportional to 49,648 and 106,304

Calculator

Solution

The third proportional to 49,648 and 106,304 is: 227,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648 : 106,304 = 106,304 : x
  2. Step 2: Convert to fraction form
    49,648/106,304 = 106,304/x
  3. Step 3: Cross multiply
    49,648x = 106,304 × 106,304
  4. Step 4: Simplify right side
    49,648x = 11,300,540,416
  5. Step 5: Solve for x
    x = 11,300,540,416/49,648
  6. Step 6: Final answer
    x = 227,613.21

Related Problems

Find third proportional to 24,824 and 53,152
Half scale
Find third proportional to 99,296 and 212,608
Double scale
Find third proportional to 49,650 and 106,308
Similar ratio
Find third proportional to 74,472 and 159,456
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.