Home / 31,856-68,176

Finding the Third Proportional to 31,856 and 68,176

Calculator

Solution

The third proportional to 31,856 and 68,176 is: 145,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856 : 68,176 = 68,176 : x
  2. Step 2: Convert to fraction form
    31,856/68,176 = 68,176/x
  3. Step 3: Cross multiply
    31,856x = 68,176 × 68,176
  4. Step 4: Simplify right side
    31,856x = 4,647,966,976
  5. Step 5: Solve for x
    x = 4,647,966,976/31,856
  6. Step 6: Final answer
    x = 145,905.54

Related Problems

Find third proportional to 15,928 and 34,088
Half scale
Find third proportional to 63,712 and 136,352
Double scale
Find third proportional to 31,858 and 68,180
Similar ratio
Find third proportional to 47,784 and 102,264
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.