Home / 164.53-358.17

Finding the Third Proportional to 164.53 and 358.17

Calculator

Solution

The third proportional to 164.53 and 358.17 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 358.17 = 358.17 : x
  2. Step 2: Convert to fraction form
    164.53/358.17 = 358.17/x
  3. Step 3: Cross multiply
    164.53x = 358.17 × 358.17
  4. Step 4: Simplify right side
    164.53x = 128,287.09
  5. Step 5: Solve for x
    x = 128,287.09/164.53
  6. Step 6: Final answer
    x = 779.71

Related Problems

Find third proportional to 82.27 and 179.09
Half scale
Find third proportional to 329.06 and 716.34
Double scale
Find third proportional to 167 and 363
Similar ratio
Find third proportional to 246.80 and 537.26
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.