Home / 634.50-1,461.38

Finding the Third Proportional to 634.50 and 1,461.38

Calculator

Solution

The third proportional to 634.50 and 1,461.38 is: 3,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 1,461.38 = 1,461.38 : x
  2. Step 2: Convert to fraction form
    634.50/1,461.38 = 1,461.38/x
  3. Step 3: Cross multiply
    634.50x = 1,461.38 × 1,461.38
  4. Step 4: Simplify right side
    634.50x = 2,135,616.89
  5. Step 5: Solve for x
    x = 2,135,616.89/634.50
  6. Step 6: Final answer
    x = 3,365.83

Related Problems

Find third proportional to 317.25 and 730.69
Half scale
Find third proportional to 1,269 and 2,922.75
Double scale
Find third proportional to 637 and 1,466
Similar ratio
Find third proportional to 951.75 and 2,192.06
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.