Home / 205,214-308,416

Finding the Third Proportional to 205,214 and 308,416

Calculator

Solution

The third proportional to 205,214 and 308,416 is: 463,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,214 : 308,416 = 308,416 : x
  2. Step 2: Convert to fraction form
    205,214/308,416 = 308,416/x
  3. Step 3: Cross multiply
    205,214x = 308,416 × 308,416
  4. Step 4: Simplify right side
    205,214x = 95,120,429,056
  5. Step 5: Solve for x
    x = 95,120,429,056/205,214
  6. Step 6: Final answer
    x = 463,518.23

Related Problems

Find third proportional to 102,607 and 154,208
Half scale
Find third proportional to 410,428 and 616,832
Double scale
Find third proportional to 205,216 and 308,419
Similar ratio
Find third proportional to 307,821 and 462,624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.