Home / 102,136-219,830

Finding the Third Proportional to 102,136 and 219,830

Calculator

Solution

The third proportional to 102,136 and 219,830 is: 473,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136 : 219,830 = 219,830 : x
  2. Step 2: Convert to fraction form
    102,136/219,830 = 219,830/x
  3. Step 3: Cross multiply
    102,136x = 219,830 × 219,830
  4. Step 4: Simplify right side
    102,136x = 48,325,228,900
  5. Step 5: Solve for x
    x = 48,325,228,900/102,136
  6. Step 6: Final answer
    x = 473,145.89

Related Problems

Find third proportional to 51,068 and 109,915
Half scale
Find third proportional to 204,272 and 439,660
Double scale
Find third proportional to 102,138 and 219,834
Similar ratio
Find third proportional to 153,204 and 329,745
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.