Home / 657-727

Finding the Third Proportional to 657 and 727

Calculator

Solution

The third proportional to 657 and 727 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657 : 727 = 727 : x
  2. Step 2: Convert to fraction form
    657/727 = 727/x
  3. Step 3: Cross multiply
    657x = 727 × 727
  4. Step 4: Simplify right side
    657x = 528,529
  5. Step 5: Solve for x
    x = 528,529/657
  6. Step 6: Final answer
    x = 804.46

Related Problems

Find third proportional to 328.50 and 363.50
Half scale
Find third proportional to 1,314 and 1,454
Double scale
Find third proportional to 659 and 729
Similar ratio
Find third proportional to 985.50 and 1,090.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.