Home / 45,472-106,208

Finding the Third Proportional to 45,472 and 106,208

Calculator

Solution

The third proportional to 45,472 and 106,208 is: 248,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,472 : 106,208 = 106,208 : x
  2. Step 2: Convert to fraction form
    45,472/106,208 = 106,208/x
  3. Step 3: Cross multiply
    45,472x = 106,208 × 106,208
  4. Step 4: Simplify right side
    45,472x = 11,280,139,264
  5. Step 5: Solve for x
    x = 11,280,139,264/45,472
  6. Step 6: Final answer
    x = 248,067.81

Related Problems

Find third proportional to 22,736 and 53,104
Half scale
Find third proportional to 90,944 and 212,416
Double scale
Find third proportional to 45,474 and 106,213
Similar ratio
Find third proportional to 68,208 and 159,312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.