Home / 219,027-470,811

Finding the Third Proportional to 219,027 and 470,811

Calculator

Solution

The third proportional to 219,027 and 470,811 is: 1,012,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,027 : 470,811 = 470,811 : x
  2. Step 2: Convert to fraction form
    219,027/470,811 = 470,811/x
  3. Step 3: Cross multiply
    219,027x = 470,811 × 470,811
  4. Step 4: Simplify right side
    219,027x = 221,662,997,721
  5. Step 5: Solve for x
    x = 221,662,997,721/219,027
  6. Step 6: Final answer
    x = 1,012,035.04

Related Problems

Find third proportional to 109,513.50 and 235,405.50
Half scale
Find third proportional to 438,054 and 941,622
Double scale
Find third proportional to 219,029 and 470,815
Similar ratio
Find third proportional to 328,540.50 and 706,216.50
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.