Home / 407,816-599,824

Finding the Third Proportional to 407,816 and 599,824

Calculator

Solution

The third proportional to 407,816 and 599,824 is: 882,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,816 : 599,824 = 599,824 : x
  2. Step 2: Convert to fraction form
    407,816/599,824 = 599,824/x
  3. Step 3: Cross multiply
    407,816x = 599,824 × 599,824
  4. Step 4: Simplify right side
    407,816x = 359,788,830,976
  5. Step 5: Solve for x
    x = 359,788,830,976/407,816
  6. Step 6: Final answer
    x = 882,233.24

Related Problems

Find third proportional to 203,908 and 299,912
Half scale
Find third proportional to 815,632 and 1,199,648
Double scale
Find third proportional to 407,818 and 599,827
Similar ratio
Find third proportional to 611,724 and 899,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.