Home / 470,924-684,504

Finding the Third Proportional to 470,924 and 684,504

Calculator

Solution

The third proportional to 470,924 and 684,504 is: 994,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,924 : 684,504 = 684,504 : x
  2. Step 2: Convert to fraction form
    470,924/684,504 = 684,504/x
  3. Step 3: Cross multiply
    470,924x = 684,504 × 684,504
  4. Step 4: Simplify right side
    470,924x = 468,545,726,016
  5. Step 5: Solve for x
    x = 468,545,726,016/470,924
  6. Step 6: Final answer
    x = 994,949.77

Related Problems

Find third proportional to 235,462 and 342,252
Half scale
Find third proportional to 941,848 and 1,369,008
Double scale
Find third proportional to 470,926 and 684,507
Similar ratio
Find third proportional to 706,386 and 1,026,756
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.