Home / 102,249-223,086

Finding the Third Proportional to 102,249 and 223,086

Calculator

Solution

The third proportional to 102,249 and 223,086 is: 486,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,249 : 223,086 = 223,086 : x
  2. Step 2: Convert to fraction form
    102,249/223,086 = 223,086/x
  3. Step 3: Cross multiply
    102,249x = 223,086 × 223,086
  4. Step 4: Simplify right side
    102,249x = 49,767,363,396
  5. Step 5: Solve for x
    x = 49,767,363,396/102,249
  6. Step 6: Final answer
    x = 486,727.14

Related Problems

Find third proportional to 51,124.50 and 111,543
Half scale
Find third proportional to 204,498 and 446,172
Double scale
Find third proportional to 102,251 and 223,090
Similar ratio
Find third proportional to 153,373.50 and 334,629
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.