Home / 165.38-345.94

Finding the Third Proportional to 165.38 and 345.94

Calculator

Solution

The third proportional to 165.38 and 345.94 is: 723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 345.94 = 345.94 : x
  2. Step 2: Convert to fraction form
    165.38/345.94 = 345.94/x
  3. Step 3: Cross multiply
    165.38x = 345.94 × 345.94
  4. Step 4: Simplify right side
    165.38x = 119,672.75
  5. Step 5: Solve for x
    x = 119,672.75/165.38
  6. Step 6: Final answer
    x = 723.64

Related Problems

Find third proportional to 82.69 and 172.97
Half scale
Find third proportional to 330.75 and 691.88
Double scale
Find third proportional to 167 and 350
Similar ratio
Find third proportional to 248.06 and 518.91
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.