Home / 306,322-470,723

Finding the Third Proportional to 306,322 and 470,723

Calculator

Solution

The third proportional to 306,322 and 470,723 is: 723,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,322 : 470,723 = 470,723 : x
  2. Step 2: Convert to fraction form
    306,322/470,723 = 470,723/x
  3. Step 3: Cross multiply
    306,322x = 470,723 × 470,723
  4. Step 4: Simplify right side
    306,322x = 221,580,142,729
  5. Step 5: Solve for x
    x = 221,580,142,729/306,322
  6. Step 6: Final answer
    x = 723,356.93

Related Problems

Find third proportional to 153,161 and 235,361.50
Half scale
Find third proportional to 612,644 and 941,446
Double scale
Find third proportional to 306,324 and 470,726
Similar ratio
Find third proportional to 459,483 and 706,084.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.