Home / 102,446-223,572

Finding the Third Proportional to 102,446 and 223,572

Calculator

Solution

The third proportional to 102,446 and 223,572 is: 487,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,446 : 223,572 = 223,572 : x
  2. Step 2: Convert to fraction form
    102,446/223,572 = 223,572/x
  3. Step 3: Cross multiply
    102,446x = 223,572 × 223,572
  4. Step 4: Simplify right side
    102,446x = 49,984,439,184
  5. Step 5: Solve for x
    x = 49,984,439,184/102,446
  6. Step 6: Final answer
    x = 487,910.11

Related Problems

Find third proportional to 51,223 and 111,786
Half scale
Find third proportional to 204,892 and 447,144
Double scale
Find third proportional to 102,448 and 223,576
Similar ratio
Find third proportional to 153,669 and 335,358
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.