Home / 102,218-223,444

Finding the Third Proportional to 102,218 and 223,444

Calculator

Solution

The third proportional to 102,218 and 223,444 is: 488,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,218 : 223,444 = 223,444 : x
  2. Step 2: Convert to fraction form
    102,218/223,444 = 223,444/x
  3. Step 3: Cross multiply
    102,218x = 223,444 × 223,444
  4. Step 4: Simplify right side
    102,218x = 49,927,221,136
  5. Step 5: Solve for x
    x = 49,927,221,136/102,218
  6. Step 6: Final answer
    x = 488,438.64

Related Problems

Find third proportional to 51,109 and 111,722
Half scale
Find third proportional to 204,436 and 446,888
Double scale
Find third proportional to 102,220 and 223,448
Similar ratio
Find third proportional to 153,327 and 335,166
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.