Home / 507-743

Finding the Third Proportional to 507 and 743

Calculator

Solution

The third proportional to 507 and 743 is: 1,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 743 = 743 : x
  2. Step 2: Convert to fraction form
    507/743 = 743/x
  3. Step 3: Cross multiply
    507x = 743 × 743
  4. Step 4: Simplify right side
    507x = 552,049
  5. Step 5: Solve for x
    x = 552,049/507
  6. Step 6: Final answer
    x = 1,088.85

Related Problems

Find third proportional to 253.50 and 371.50
Half scale
Find third proportional to 1,014 and 1,486
Double scale
Find third proportional to 509 and 746
Similar ratio
Find third proportional to 760.50 and 1,114.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.