Home / 206,456-290,724

Finding the Third Proportional to 206,456 and 290,724

Calculator

Solution

The third proportional to 206,456 and 290,724 is: 409,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456 : 290,724 = 290,724 : x
  2. Step 2: Convert to fraction form
    206,456/290,724 = 290,724/x
  3. Step 3: Cross multiply
    206,456x = 290,724 × 290,724
  4. Step 4: Simplify right side
    206,456x = 84,520,444,176
  5. Step 5: Solve for x
    x = 84,520,444,176/206,456
  6. Step 6: Final answer
    x = 409,387.20

Related Problems

Find third proportional to 103,228 and 145,362
Half scale
Find third proportional to 412,912 and 581,448
Double scale
Find third proportional to 206,458 and 290,727
Similar ratio
Find third proportional to 309,684 and 436,086
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.