Home / 48,412-106,156

Finding the Third Proportional to 48,412 and 106,156

Calculator

Solution

The third proportional to 48,412 and 106,156 is: 232,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412 : 106,156 = 106,156 : x
  2. Step 2: Convert to fraction form
    48,412/106,156 = 106,156/x
  3. Step 3: Cross multiply
    48,412x = 106,156 × 106,156
  4. Step 4: Simplify right side
    48,412x = 11,269,096,336
  5. Step 5: Solve for x
    x = 11,269,096,336/48,412
  6. Step 6: Final answer
    x = 232,774.86

Related Problems

Find third proportional to 24,206 and 53,078
Half scale
Find third proportional to 96,824 and 212,312
Double scale
Find third proportional to 48,414 and 106,160
Similar ratio
Find third proportional to 72,618 and 159,234
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.