Home / 380-457

Finding the Third Proportional to 380 and 457

Calculator

Solution

The third proportional to 380 and 457 is: 549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 457 = 457 : x
  2. Step 2: Convert to fraction form
    380/457 = 457/x
  3. Step 3: Cross multiply
    380x = 457 × 457
  4. Step 4: Simplify right side
    380x = 208,849
  5. Step 5: Solve for x
    x = 208,849/380
  6. Step 6: Final answer
    x = 549.60

Related Problems

Find third proportional to 190 and 228.50
Half scale
Find third proportional to 760 and 914
Double scale
Find third proportional to 382 and 459
Similar ratio
Find third proportional to 570 and 685.50
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.