Home / 101,764-206,284

Finding the Third Proportional to 101,764 and 206,284

Calculator

Solution

The third proportional to 101,764 and 206,284 is: 418,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764 : 206,284 = 206,284 : x
  2. Step 2: Convert to fraction form
    101,764/206,284 = 206,284/x
  3. Step 3: Cross multiply
    101,764x = 206,284 × 206,284
  4. Step 4: Simplify right side
    101,764x = 42,553,088,656
  5. Step 5: Solve for x
    x = 42,553,088,656/101,764
  6. Step 6: Final answer
    x = 418,154.64

Related Problems

Find third proportional to 50,882 and 103,142
Half scale
Find third proportional to 203,528 and 412,568
Double scale
Find third proportional to 101,766 and 206,288
Similar ratio
Find third proportional to 152,646 and 309,426
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.