Home / 419.63-657.56

Finding the Third Proportional to 419.63 and 657.56

Calculator

Solution

The third proportional to 419.63 and 657.56 is: 1,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 657.56 = 657.56 : x
  2. Step 2: Convert to fraction form
    419.63/657.56 = 657.56/x
  3. Step 3: Cross multiply
    419.63x = 657.56 × 657.56
  4. Step 4: Simplify right side
    419.63x = 432,388.44
  5. Step 5: Solve for x
    x = 432,388.44/419.63
  6. Step 6: Final answer
    x = 1,030.42

Related Problems

Find third proportional to 209.81 and 328.78
Half scale
Find third proportional to 839.25 and 1,315.13
Double scale
Find third proportional to 422 and 661
Similar ratio
Find third proportional to 629.44 and 986.34
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.