Home / 184-413

Finding the Third Proportional to 184 and 413

Calculator

Solution

The third proportional to 184 and 413 is: 927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184 : 413 = 413 : x
  2. Step 2: Convert to fraction form
    184/413 = 413/x
  3. Step 3: Cross multiply
    184x = 413 × 413
  4. Step 4: Simplify right side
    184x = 170,569
  5. Step 5: Solve for x
    x = 170,569/184
  6. Step 6: Final answer
    x = 927.01

Related Problems

Find third proportional to 92 and 206.50
Half scale
Find third proportional to 368 and 826
Double scale
Find third proportional to 186 and 417
Similar ratio
Find third proportional to 276 and 619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.