Home / 213,783-470,223

Finding the Third Proportional to 213,783 and 470,223

Calculator

Solution

The third proportional to 213,783 and 470,223 is: 1,034,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,783 : 470,223 = 470,223 : x
  2. Step 2: Convert to fraction form
    213,783/470,223 = 470,223/x
  3. Step 3: Cross multiply
    213,783x = 470,223 × 470,223
  4. Step 4: Simplify right side
    213,783x = 221,109,669,729
  5. Step 5: Solve for x
    x = 221,109,669,729/213,783
  6. Step 6: Final answer
    x = 1,034,271.53

Related Problems

Find third proportional to 106,891.50 and 235,111.50
Half scale
Find third proportional to 427,566 and 940,446
Double scale
Find third proportional to 213,785 and 470,227
Similar ratio
Find third proportional to 320,674.50 and 705,334.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.