Home / 312.50-475

Finding the Third Proportional to 312.50 and 475

Calculator

Solution

The third proportional to 312.50 and 475 is: 722

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 475 = 475 : x
  2. Step 2: Convert to fraction form
    312.50/475 = 475/x
  3. Step 3: Cross multiply
    312.50x = 475 × 475
  4. Step 4: Simplify right side
    312.50x = 225,625
  5. Step 5: Solve for x
    x = 225,625/312.50
  6. Step 6: Final answer
    x = 722

Related Problems

Find third proportional to 156.25 and 237.50
Half scale
Find third proportional to 625 and 950
Double scale
Find third proportional to 315 and 478
Similar ratio
Find third proportional to 468.75 and 712.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.