Home / 68,725-106,413

Finding the Third Proportional to 68,725 and 106,413

Calculator

Solution

The third proportional to 68,725 and 106,413 is: 164,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,725 : 106,413 = 106,413 : x
  2. Step 2: Convert to fraction form
    68,725/106,413 = 106,413/x
  3. Step 3: Cross multiply
    68,725x = 106,413 × 106,413
  4. Step 4: Simplify right side
    68,725x = 11,323,726,569
  5. Step 5: Solve for x
    x = 11,323,726,569/68,725
  6. Step 6: Final answer
    x = 164,768.67

Related Problems

Find third proportional to 34,362.50 and 53,206.50
Half scale
Find third proportional to 137,450 and 212,826
Double scale
Find third proportional to 68,727 and 106,416
Similar ratio
Find third proportional to 103,087.50 and 159,619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.