Home / 174.50-380

Finding the Third Proportional to 174.50 and 380

Calculator

Solution

The third proportional to 174.50 and 380 is: 827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.50 : 380 = 380 : x
  2. Step 2: Convert to fraction form
    174.50/380 = 380/x
  3. Step 3: Cross multiply
    174.50x = 380 × 380
  4. Step 4: Simplify right side
    174.50x = 144,400
  5. Step 5: Solve for x
    x = 144,400/174.50
  6. Step 6: Final answer
    x = 827.51

Related Problems

Find third proportional to 87.25 and 190
Half scale
Find third proportional to 349 and 760
Double scale
Find third proportional to 177 and 384
Similar ratio
Find third proportional to 261.75 and 570
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.