Home / 507-657

Finding the Third Proportional to 507 and 657

Calculator

Solution

The third proportional to 507 and 657 is: 851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 657 = 657 : x
  2. Step 2: Convert to fraction form
    507/657 = 657/x
  3. Step 3: Cross multiply
    507x = 657 × 657
  4. Step 4: Simplify right side
    507x = 431,649
  5. Step 5: Solve for x
    x = 431,649/507
  6. Step 6: Final answer
    x = 851.38

Related Problems

Find third proportional to 253.50 and 328.50
Half scale
Find third proportional to 1,014 and 1,314
Double scale
Find third proportional to 509 and 660
Similar ratio
Find third proportional to 760.50 and 985.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.