Home / 213,914-460,822

Finding the Third Proportional to 213,914 and 460,822

Calculator

Solution

The third proportional to 213,914 and 460,822 is: 992,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,914 : 460,822 = 460,822 : x
  2. Step 2: Convert to fraction form
    213,914/460,822 = 460,822/x
  3. Step 3: Cross multiply
    213,914x = 460,822 × 460,822
  4. Step 4: Simplify right side
    213,914x = 212,356,915,684
  5. Step 5: Solve for x
    x = 212,356,915,684/213,914
  6. Step 6: Final answer
    x = 992,720.98

Related Problems

Find third proportional to 106,957 and 230,411
Half scale
Find third proportional to 427,828 and 921,644
Double scale
Find third proportional to 213,916 and 460,826
Similar ratio
Find third proportional to 320,871 and 691,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.