Home / 742.50-1,208.38

Finding the Third Proportional to 742.50 and 1,208.38

Calculator

Solution

The third proportional to 742.50 and 1,208.38 is: 1,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,208.38 = 1,208.38 : x
  2. Step 2: Convert to fraction form
    742.50/1,208.38 = 1,208.38/x
  3. Step 3: Cross multiply
    742.50x = 1,208.38 × 1,208.38
  4. Step 4: Simplify right side
    742.50x = 1,460,170.14
  5. Step 5: Solve for x
    x = 1,460,170.14/742.50
  6. Step 6: Final answer
    x = 1,966.56

Related Problems

Find third proportional to 371.25 and 604.19
Half scale
Find third proportional to 1,485 and 2,416.75
Double scale
Find third proportional to 745 and 1,212
Similar ratio
Find third proportional to 1,113.75 and 1,812.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.