Home / 257-657

Finding the Third Proportional to 257 and 657

Calculator

Solution

The third proportional to 257 and 657 is: 1,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 657 = 657 : x
  2. Step 2: Convert to fraction form
    257/657 = 657/x
  3. Step 3: Cross multiply
    257x = 657 × 657
  4. Step 4: Simplify right side
    257x = 431,649
  5. Step 5: Solve for x
    x = 431,649/257
  6. Step 6: Final answer
    x = 1,679.57

Related Problems

Find third proportional to 128.50 and 328.50
Half scale
Find third proportional to 514 and 1,314
Double scale
Find third proportional to 259 and 662
Similar ratio
Find third proportional to 385.50 and 985.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.