Home / 206,822-302,020

Finding the Third Proportional to 206,822 and 302,020

Calculator

Solution

The third proportional to 206,822 and 302,020 is: 441,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,822 : 302,020 = 302,020 : x
  2. Step 2: Convert to fraction form
    206,822/302,020 = 302,020/x
  3. Step 3: Cross multiply
    206,822x = 302,020 × 302,020
  4. Step 4: Simplify right side
    206,822x = 91,216,080,400
  5. Step 5: Solve for x
    x = 91,216,080,400/206,822
  6. Step 6: Final answer
    x = 441,036.64

Related Problems

Find third proportional to 103,411 and 151,010
Half scale
Find third proportional to 413,644 and 604,040
Double scale
Find third proportional to 206,824 and 302,023
Similar ratio
Find third proportional to 310,233 and 453,030
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.