Home / 407.50-460

Finding the Third Proportional to 407.50 and 460

Calculator

Solution

The third proportional to 407.50 and 460 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 460 = 460 : x
  2. Step 2: Convert to fraction form
    407.50/460 = 460/x
  3. Step 3: Cross multiply
    407.50x = 460 × 460
  4. Step 4: Simplify right side
    407.50x = 211,600
  5. Step 5: Solve for x
    x = 211,600/407.50
  6. Step 6: Final answer
    x = 519.26

Related Problems

Find third proportional to 203.75 and 230
Half scale
Find third proportional to 815 and 920
Double scale
Find third proportional to 410 and 462
Similar ratio
Find third proportional to 611.25 and 690
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.