Home / 420-657

Finding the Third Proportional to 420 and 657

Calculator

Solution

The third proportional to 420 and 657 is: 1,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 657 = 657 : x
  2. Step 2: Convert to fraction form
    420/657 = 657/x
  3. Step 3: Cross multiply
    420x = 657 × 657
  4. Step 4: Simplify right side
    420x = 431,649
  5. Step 5: Solve for x
    x = 431,649/420
  6. Step 6: Final answer
    x = 1,027.74

Related Problems

Find third proportional to 210 and 328.50
Half scale
Find third proportional to 840 and 1,314
Double scale
Find third proportional to 422 and 660
Similar ratio
Find third proportional to 630 and 985.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.