Home / 213,816-461,856

Finding the Third Proportional to 213,816 and 461,856

Calculator

Solution

The third proportional to 213,816 and 461,856 is: 997,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,816 : 461,856 = 461,856 : x
  2. Step 2: Convert to fraction form
    213,816/461,856 = 461,856/x
  3. Step 3: Cross multiply
    213,816x = 461,856 × 461,856
  4. Step 4: Simplify right side
    213,816x = 213,310,964,736
  5. Step 5: Solve for x
    x = 213,310,964,736/213,816
  6. Step 6: Final answer
    x = 997,637.99

Related Problems

Find third proportional to 106,908 and 230,928
Half scale
Find third proportional to 427,632 and 923,712
Double scale
Find third proportional to 213,818 and 461,860
Similar ratio
Find third proportional to 320,724 and 692,784
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.