Home / 605-743

Finding the Third Proportional to 605 and 743

Calculator

Solution

The third proportional to 605 and 743 is: 912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605 : 743 = 743 : x
  2. Step 2: Convert to fraction form
    605/743 = 743/x
  3. Step 3: Cross multiply
    605x = 743 × 743
  4. Step 4: Simplify right side
    605x = 552,049
  5. Step 5: Solve for x
    x = 552,049/605
  6. Step 6: Final answer
    x = 912.48

Related Problems

Find third proportional to 302.50 and 371.50
Half scale
Find third proportional to 1,210 and 1,486
Double scale
Find third proportional to 607 and 745
Similar ratio
Find third proportional to 907.50 and 1,114.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.