Home / 150,012-210,984

Finding the Third Proportional to 150,012 and 210,984

Calculator

Solution

The third proportional to 150,012 and 210,984 is: 296,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,012 : 210,984 = 210,984 : x
  2. Step 2: Convert to fraction form
    150,012/210,984 = 210,984/x
  3. Step 3: Cross multiply
    150,012x = 210,984 × 210,984
  4. Step 4: Simplify right side
    150,012x = 44,514,248,256
  5. Step 5: Solve for x
    x = 44,514,248,256/150,012
  6. Step 6: Final answer
    x = 296,737.92

Related Problems

Find third proportional to 75,006 and 105,492
Half scale
Find third proportional to 300,024 and 421,968
Double scale
Find third proportional to 150,014 and 210,987
Similar ratio
Find third proportional to 225,018 and 316,476
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.