Home / 268,866-412,698

Finding the Third Proportional to 268,866 and 412,698

Calculator

Solution

The third proportional to 268,866 and 412,698 is: 633,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,866 : 412,698 = 412,698 : x
  2. Step 2: Convert to fraction form
    268,866/412,698 = 412,698/x
  3. Step 3: Cross multiply
    268,866x = 412,698 × 412,698
  4. Step 4: Simplify right side
    268,866x = 170,319,639,204
  5. Step 5: Solve for x
    x = 170,319,639,204/268,866
  6. Step 6: Final answer
    x = 633,474.07

Related Problems

Find third proportional to 134,433 and 206,349
Half scale
Find third proportional to 537,732 and 825,396
Double scale
Find third proportional to 268,868 and 412,701
Similar ratio
Find third proportional to 403,299 and 619,047
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.