Home / 102,604-219,806

Finding the Third Proportional to 102,604 and 219,806

Calculator

Solution

The third proportional to 102,604 and 219,806 is: 470,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604 : 219,806 = 219,806 : x
  2. Step 2: Convert to fraction form
    102,604/219,806 = 219,806/x
  3. Step 3: Cross multiply
    102,604x = 219,806 × 219,806
  4. Step 4: Simplify right side
    102,604x = 48,314,677,636
  5. Step 5: Solve for x
    x = 48,314,677,636/102,604
  6. Step 6: Final answer
    x = 470,884.93

Related Problems

Find third proportional to 51,302 and 109,903
Half scale
Find third proportional to 205,208 and 439,612
Double scale
Find third proportional to 102,606 and 219,810
Similar ratio
Find third proportional to 153,906 and 329,709
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.