Home / 419-656.50

Finding the Third Proportional to 419 and 656.50

Calculator

Solution

The third proportional to 419 and 656.50 is: 1,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 656.50 = 656.50 : x
  2. Step 2: Convert to fraction form
    419/656.50 = 656.50/x
  3. Step 3: Cross multiply
    419x = 656.50 × 656.50
  4. Step 4: Simplify right side
    419x = 430,992.25
  5. Step 5: Solve for x
    x = 430,992.25/419
  6. Step 6: Final answer
    x = 1,028.62

Related Problems

Find third proportional to 209.50 and 328.25
Half scale
Find third proportional to 838 and 1,313
Double scale
Find third proportional to 421 and 660
Similar ratio
Find third proportional to 628.50 and 984.75
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.