Home / 213,628-462,320

Finding the Third Proportional to 213,628 and 462,320

Calculator

Solution

The third proportional to 213,628 and 462,320 is: 1,000,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,628 : 462,320 = 462,320 : x
  2. Step 2: Convert to fraction form
    213,628/462,320 = 462,320/x
  3. Step 3: Cross multiply
    213,628x = 462,320 × 462,320
  4. Step 4: Simplify right side
    213,628x = 213,739,782,400
  5. Step 5: Solve for x
    x = 213,739,782,400/213,628
  6. Step 6: Final answer
    x = 1,000,523.26

Related Problems

Find third proportional to 106,814 and 231,160
Half scale
Find third proportional to 427,256 and 924,640
Double scale
Find third proportional to 213,630 and 462,324
Similar ratio
Find third proportional to 320,442 and 693,480
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.