Home / 408-514.50

Finding the Third Proportional to 408 and 514.50

Calculator

Solution

The third proportional to 408 and 514.50 is: 648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 514.50 = 514.50 : x
  2. Step 2: Convert to fraction form
    408/514.50 = 514.50/x
  3. Step 3: Cross multiply
    408x = 514.50 × 514.50
  4. Step 4: Simplify right side
    408x = 264,710.25
  5. Step 5: Solve for x
    x = 264,710.25/408
  6. Step 6: Final answer
    x = 648.80

Related Problems

Find third proportional to 204 and 257.25
Half scale
Find third proportional to 816 and 1,029
Double scale
Find third proportional to 410 and 517
Similar ratio
Find third proportional to 612 and 771.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.