Home / 274,612-413,322

Finding the Third Proportional to 274,612 and 413,322

Calculator

Solution

The third proportional to 274,612 and 413,322 is: 622,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,612 : 413,322 = 413,322 : x
  2. Step 2: Convert to fraction form
    274,612/413,322 = 413,322/x
  3. Step 3: Cross multiply
    274,612x = 413,322 × 413,322
  4. Step 4: Simplify right side
    274,612x = 170,835,075,684
  5. Step 5: Solve for x
    x = 170,835,075,684/274,612
  6. Step 6: Final answer
    x = 622,096.18

Related Problems

Find third proportional to 137,306 and 206,661
Half scale
Find third proportional to 549,224 and 826,644
Double scale
Find third proportional to 274,614 and 413,325
Similar ratio
Find third proportional to 411,918 and 619,983
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.