Home / 48,471-105,945

Finding the Third Proportional to 48,471 and 105,945

Calculator

Solution

The third proportional to 48,471 and 105,945 is: 231,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471 : 105,945 = 105,945 : x
  2. Step 2: Convert to fraction form
    48,471/105,945 = 105,945/x
  3. Step 3: Cross multiply
    48,471x = 105,945 × 105,945
  4. Step 4: Simplify right side
    48,471x = 11,224,343,025
  5. Step 5: Solve for x
    x = 11,224,343,025/48,471
  6. Step 6: Final answer
    x = 231,568.22

Related Problems

Find third proportional to 24,235.50 and 52,972.50
Half scale
Find third proportional to 96,942 and 211,890
Double scale
Find third proportional to 48,473 and 105,949
Similar ratio
Find third proportional to 72,706.50 and 158,917.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.