Home / 713-743

Finding the Third Proportional to 713 and 743

Calculator

Solution

The third proportional to 713 and 743 is: 774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713 : 743 = 743 : x
  2. Step 2: Convert to fraction form
    713/743 = 743/x
  3. Step 3: Cross multiply
    713x = 743 × 743
  4. Step 4: Simplify right side
    713x = 552,049
  5. Step 5: Solve for x
    x = 552,049/713
  6. Step 6: Final answer
    x = 774.26

Related Problems

Find third proportional to 356.50 and 371.50
Half scale
Find third proportional to 1,426 and 1,486
Double scale
Find third proportional to 715 and 745
Similar ratio
Find third proportional to 1,069.50 and 1,114.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.