Home / 69,734-106,698

Finding the Third Proportional to 69,734 and 106,698

Calculator

Solution

The third proportional to 69,734 and 106,698 is: 163,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,734 : 106,698 = 106,698 : x
  2. Step 2: Convert to fraction form
    69,734/106,698 = 106,698/x
  3. Step 3: Cross multiply
    69,734x = 106,698 × 106,698
  4. Step 4: Simplify right side
    69,734x = 11,384,463,204
  5. Step 5: Solve for x
    x = 11,384,463,204/69,734
  6. Step 6: Final answer
    x = 163,255.56

Related Problems

Find third proportional to 34,867 and 53,349
Half scale
Find third proportional to 139,468 and 213,396
Double scale
Find third proportional to 69,736 and 106,701
Similar ratio
Find third proportional to 104,601 and 160,047
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.