Home / 106,236-156,924

Finding the Third Proportional to 106,236 and 156,924

Calculator

Solution

The third proportional to 106,236 and 156,924 is: 231,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,236 : 156,924 = 156,924 : x
  2. Step 2: Convert to fraction form
    106,236/156,924 = 156,924/x
  3. Step 3: Cross multiply
    106,236x = 156,924 × 156,924
  4. Step 4: Simplify right side
    106,236x = 24,625,141,776
  5. Step 5: Solve for x
    x = 24,625,141,776/106,236
  6. Step 6: Final answer
    x = 231,796.58

Related Problems

Find third proportional to 53,118 and 78,462
Half scale
Find third proportional to 212,472 and 313,848
Double scale
Find third proportional to 106,238 and 156,927
Similar ratio
Find third proportional to 159,354 and 235,386
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.