Home / 409.50-492

Finding the Third Proportional to 409.50 and 492

Calculator

Solution

The third proportional to 409.50 and 492 is: 591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 492 = 492 : x
  2. Step 2: Convert to fraction form
    409.50/492 = 492/x
  3. Step 3: Cross multiply
    409.50x = 492 × 492
  4. Step 4: Simplify right side
    409.50x = 242,064
  5. Step 5: Solve for x
    x = 242,064/409.50
  6. Step 6: Final answer
    x = 591.12

Related Problems

Find third proportional to 204.75 and 246
Half scale
Find third proportional to 819 and 984
Double scale
Find third proportional to 412 and 494
Similar ratio
Find third proportional to 614.25 and 738
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.