Home / 305,463-654,702

Finding the Third Proportional to 305,463 and 654,702

Calculator

Solution

The third proportional to 305,463 and 654,702 is: 1,403,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,463 : 654,702 = 654,702 : x
  2. Step 2: Convert to fraction form
    305,463/654,702 = 654,702/x
  3. Step 3: Cross multiply
    305,463x = 654,702 × 654,702
  4. Step 4: Simplify right side
    305,463x = 428,634,708,804
  5. Step 5: Solve for x
    x = 428,634,708,804/305,463
  6. Step 6: Final answer
    x = 1,403,229.55

Related Problems

Find third proportional to 152,731.50 and 327,351
Half scale
Find third proportional to 610,926 and 1,309,404
Double scale
Find third proportional to 305,465 and 654,706
Similar ratio
Find third proportional to 458,194.50 and 982,053
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.