Home / 315.50-380

Finding the Third Proportional to 315.50 and 380

Calculator

Solution

The third proportional to 315.50 and 380 is: 457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.50 : 380 = 380 : x
  2. Step 2: Convert to fraction form
    315.50/380 = 380/x
  3. Step 3: Cross multiply
    315.50x = 380 × 380
  4. Step 4: Simplify right side
    315.50x = 144,400
  5. Step 5: Solve for x
    x = 144,400/315.50
  6. Step 6: Final answer
    x = 457.69

Related Problems

Find third proportional to 157.75 and 190
Half scale
Find third proportional to 631 and 760
Double scale
Find third proportional to 318 and 382
Similar ratio
Find third proportional to 473.25 and 570
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.