Home / 186-322

Finding the Third Proportional to 186 and 322

Calculator

Solution

The third proportional to 186 and 322 is: 557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186 : 322 = 322 : x
  2. Step 2: Convert to fraction form
    186/322 = 322/x
  3. Step 3: Cross multiply
    186x = 322 × 322
  4. Step 4: Simplify right side
    186x = 103,684
  5. Step 5: Solve for x
    x = 103,684/186
  6. Step 6: Final answer
    x = 557.44

Related Problems

Find third proportional to 93 and 161
Half scale
Find third proportional to 372 and 644
Double scale
Find third proportional to 188 and 325
Similar ratio
Find third proportional to 279 and 483
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.