Home / 102.52-165.16

Finding the Third Proportional to 102.52 and 165.16

Calculator

Solution

The third proportional to 102.52 and 165.16 is: 266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 165.16 = 165.16 : x
  2. Step 2: Convert to fraction form
    102.52/165.16 = 165.16/x
  3. Step 3: Cross multiply
    102.52x = 165.16 × 165.16
  4. Step 4: Simplify right side
    102.52x = 27,279.17
  5. Step 5: Solve for x
    x = 27,279.17/102.52
  6. Step 6: Final answer
    x = 266.10

Related Problems

Find third proportional to 51.26 and 82.58
Half scale
Find third proportional to 205.03 and 330.33
Double scale
Find third proportional to 105 and 168
Similar ratio
Find third proportional to 153.77 and 247.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.