Home / 100,983-156,357

Finding the Third Proportional to 100,983 and 156,357

Calculator

Solution

The third proportional to 100,983 and 156,357 is: 242,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,983 : 156,357 = 156,357 : x
  2. Step 2: Convert to fraction form
    100,983/156,357 = 156,357/x
  3. Step 3: Cross multiply
    100,983x = 156,357 × 156,357
  4. Step 4: Simplify right side
    100,983x = 24,447,511,449
  5. Step 5: Solve for x
    x = 24,447,511,449/100,983
  6. Step 6: Final answer
    x = 242,095.32

Related Problems

Find third proportional to 50,491.50 and 78,178.50
Half scale
Find third proportional to 201,966 and 312,714
Double scale
Find third proportional to 100,985 and 156,360
Similar ratio
Find third proportional to 151,474.50 and 234,535.50
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.