Home / 101-166

Finding the Third Proportional to 101 and 166

Calculator

Solution

The third proportional to 101 and 166 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101 : 166 = 166 : x
  2. Step 2: Convert to fraction form
    101/166 = 166/x
  3. Step 3: Cross multiply
    101x = 166 × 166
  4. Step 4: Simplify right side
    101x = 27,556
  5. Step 5: Solve for x
    x = 27,556/101
  6. Step 6: Final answer
    x = 272.83

Related Problems

Find third proportional to 50.50 and 83
Half scale
Find third proportional to 202 and 332
Double scale
Find third proportional to 103 and 169
Similar ratio
Find third proportional to 151.50 and 249
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.