Home / 186-413

Finding the Third Proportional to 186 and 413

Calculator

Solution

The third proportional to 186 and 413 is: 917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186 : 413 = 413 : x
  2. Step 2: Convert to fraction form
    186/413 = 413/x
  3. Step 3: Cross multiply
    186x = 413 × 413
  4. Step 4: Simplify right side
    186x = 170,569
  5. Step 5: Solve for x
    x = 170,569/186
  6. Step 6: Final answer
    x = 917.04

Related Problems

Find third proportional to 93 and 206.50
Half scale
Find third proportional to 372 and 826
Double scale
Find third proportional to 188 and 417
Similar ratio
Find third proportional to 279 and 619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.