Home / 193.50-352

Finding the Third Proportional to 193.50 and 352

Calculator

Solution

The third proportional to 193.50 and 352 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 352 = 352 : x
  2. Step 2: Convert to fraction form
    193.50/352 = 352/x
  3. Step 3: Cross multiply
    193.50x = 352 × 352
  4. Step 4: Simplify right side
    193.50x = 123,904
  5. Step 5: Solve for x
    x = 123,904/193.50
  6. Step 6: Final answer
    x = 640.33

Related Problems

Find third proportional to 96.75 and 176
Half scale
Find third proportional to 387 and 704
Double scale
Find third proportional to 196 and 356
Similar ratio
Find third proportional to 290.25 and 528
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.