Home / 285-409.50

Finding the Third Proportional to 285 and 409.50

Calculator

Solution

The third proportional to 285 and 409.50 is: 588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 409.50 = 409.50 : x
  2. Step 2: Convert to fraction form
    285/409.50 = 409.50/x
  3. Step 3: Cross multiply
    285x = 409.50 × 409.50
  4. Step 4: Simplify right side
    285x = 167,690.25
  5. Step 5: Solve for x
    x = 167,690.25/285
  6. Step 6: Final answer
    x = 588.39

Related Problems

Find third proportional to 142.50 and 204.75
Half scale
Find third proportional to 570 and 819
Double scale
Find third proportional to 287 and 412
Similar ratio
Find third proportional to 427.50 and 614.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.