Home / 232-417

Finding the Third Proportional to 232 and 417

Calculator

Solution

The third proportional to 232 and 417 is: 749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 417 = 417 : x
  2. Step 2: Convert to fraction form
    232/417 = 417/x
  3. Step 3: Cross multiply
    232x = 417 × 417
  4. Step 4: Simplify right side
    232x = 173,889
  5. Step 5: Solve for x
    x = 173,889/232
  6. Step 6: Final answer
    x = 749.52

Related Problems

Find third proportional to 116 and 208.50
Half scale
Find third proportional to 464 and 834
Double scale
Find third proportional to 234 and 421
Similar ratio
Find third proportional to 348 and 625.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.