Home / 102,264-223,664

Finding the Third Proportional to 102,264 and 223,664

Calculator

Solution

The third proportional to 102,264 and 223,664 is: 489,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 223,664 = 223,664 : x
  2. Step 2: Convert to fraction form
    102,264/223,664 = 223,664/x
  3. Step 3: Cross multiply
    102,264x = 223,664 × 223,664
  4. Step 4: Simplify right side
    102,264x = 50,025,584,896
  5. Step 5: Solve for x
    x = 50,025,584,896/102,264
  6. Step 6: Final answer
    x = 489,180.80

Related Problems

Find third proportional to 51,132 and 111,832
Half scale
Find third proportional to 204,528 and 447,328
Double scale
Find third proportional to 102,266 and 223,668
Similar ratio
Find third proportional to 153,396 and 335,496
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.