Home / 69,000-106,872

Finding the Third Proportional to 69,000 and 106,872

Calculator

Solution

The third proportional to 69,000 and 106,872 is: 165,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,000 : 106,872 = 106,872 : x
  2. Step 2: Convert to fraction form
    69,000/106,872 = 106,872/x
  3. Step 3: Cross multiply
    69,000x = 106,872 × 106,872
  4. Step 4: Simplify right side
    69,000x = 11,421,624,384
  5. Step 5: Solve for x
    x = 11,421,624,384/69,000
  6. Step 6: Final answer
    x = 165,530.79

Related Problems

Find third proportional to 34,500 and 53,436
Half scale
Find third proportional to 138,000 and 213,744
Double scale
Find third proportional to 69,002 and 106,875
Similar ratio
Find third proportional to 103,500 and 160,308
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.