Home / 123.38-165.75

Finding the Third Proportional to 123.38 and 165.75

Calculator

Solution

The third proportional to 123.38 and 165.75 is: 222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.38 : 165.75 = 165.75 : x
  2. Step 2: Convert to fraction form
    123.38/165.75 = 165.75/x
  3. Step 3: Cross multiply
    123.38x = 165.75 × 165.75
  4. Step 4: Simplify right side
    123.38x = 27,473.06
  5. Step 5: Solve for x
    x = 27,473.06/123.38
  6. Step 6: Final answer
    x = 222.68

Related Problems

Find third proportional to 61.69 and 82.88
Half scale
Find third proportional to 246.75 and 331.50
Double scale
Find third proportional to 125 and 168
Similar ratio
Find third proportional to 185.06 and 248.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.