Home / 274,365-412,278

Finding the Third Proportional to 274,365 and 412,278

Calculator

Solution

The third proportional to 274,365 and 412,278 is: 619,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,365 : 412,278 = 412,278 : x
  2. Step 2: Convert to fraction form
    274,365/412,278 = 412,278/x
  3. Step 3: Cross multiply
    274,365x = 412,278 × 412,278
  4. Step 4: Simplify right side
    274,365x = 169,973,149,284
  5. Step 5: Solve for x
    x = 169,973,149,284/274,365
  6. Step 6: Final answer
    x = 619,514.69

Related Problems

Find third proportional to 137,182.50 and 206,139
Half scale
Find third proportional to 548,730 and 824,556
Double scale
Find third proportional to 274,367 and 412,281
Similar ratio
Find third proportional to 411,547.50 and 618,417
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.