Home / 166-292

Finding the Third Proportional to 166 and 292

Calculator

Solution

The third proportional to 166 and 292 is: 513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 292 = 292 : x
  2. Step 2: Convert to fraction form
    166/292 = 292/x
  3. Step 3: Cross multiply
    166x = 292 × 292
  4. Step 4: Simplify right side
    166x = 85,264
  5. Step 5: Solve for x
    x = 85,264/166
  6. Step 6: Final answer
    x = 513.64

Related Problems

Find third proportional to 83 and 146
Half scale
Find third proportional to 332 and 584
Double scale
Find third proportional to 168 and 296
Similar ratio
Find third proportional to 249 and 438
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.