Home / 106,452-166,992

Finding the Third Proportional to 106,452 and 166,992

Calculator

Solution

The third proportional to 106,452 and 166,992 is: 261,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452 : 166,992 = 166,992 : x
  2. Step 2: Convert to fraction form
    106,452/166,992 = 166,992/x
  3. Step 3: Cross multiply
    106,452x = 166,992 × 166,992
  4. Step 4: Simplify right side
    106,452x = 27,886,328,064
  5. Step 5: Solve for x
    x = 27,886,328,064/106,452
  6. Step 6: Final answer
    x = 261,961.52

Related Problems

Find third proportional to 53,226 and 83,496
Half scale
Find third proportional to 212,904 and 333,984
Double scale
Find third proportional to 106,454 and 166,995
Similar ratio
Find third proportional to 159,678 and 250,488
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.