Home / 71,313-106,747

Finding the Third Proportional to 71,313 and 106,747

Calculator

Solution

The third proportional to 71,313 and 106,747 is: 159,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313 : 106,747 = 106,747 : x
  2. Step 2: Convert to fraction form
    71,313/106,747 = 106,747/x
  3. Step 3: Cross multiply
    71,313x = 106,747 × 106,747
  4. Step 4: Simplify right side
    71,313x = 11,394,922,009
  5. Step 5: Solve for x
    x = 11,394,922,009/71,313
  6. Step 6: Final answer
    x = 159,787.44

Related Problems

Find third proportional to 35,656.50 and 53,373.50
Half scale
Find third proportional to 142,626 and 213,494
Double scale
Find third proportional to 71,315 and 106,750
Similar ratio
Find third proportional to 106,969.50 and 160,120.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.