Home / 71,412-106,908

Finding the Third Proportional to 71,412 and 106,908

Calculator

Solution

The third proportional to 71,412 and 106,908 is: 160,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412 : 106,908 = 106,908 : x
  2. Step 2: Convert to fraction form
    71,412/106,908 = 106,908/x
  3. Step 3: Cross multiply
    71,412x = 106,908 × 106,908
  4. Step 4: Simplify right side
    71,412x = 11,429,320,464
  5. Step 5: Solve for x
    x = 11,429,320,464/71,412
  6. Step 6: Final answer
    x = 160,047.62

Related Problems

Find third proportional to 35,706 and 53,454
Half scale
Find third proportional to 142,824 and 213,816
Double scale
Find third proportional to 71,414 and 106,911
Similar ratio
Find third proportional to 107,118 and 160,362
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.