Home / 105,220-223,582

Finding the Third Proportional to 105,220 and 223,582

Calculator

Solution

The third proportional to 105,220 and 223,582 is: 475,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,220 : 223,582 = 223,582 : x
  2. Step 2: Convert to fraction form
    105,220/223,582 = 223,582/x
  3. Step 3: Cross multiply
    105,220x = 223,582 × 223,582
  4. Step 4: Simplify right side
    105,220x = 49,988,910,724
  5. Step 5: Solve for x
    x = 49,988,910,724/105,220
  6. Step 6: Final answer
    x = 475,089.44

Related Problems

Find third proportional to 52,610 and 111,791
Half scale
Find third proportional to 210,440 and 447,164
Double scale
Find third proportional to 105,222 and 223,586
Similar ratio
Find third proportional to 157,830 and 335,373
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.