Home / 214,578-471,164

Finding the Third Proportional to 214,578 and 471,164

Calculator

Solution

The third proportional to 214,578 and 471,164 is: 1,034,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,578 : 471,164 = 471,164 : x
  2. Step 2: Convert to fraction form
    214,578/471,164 = 471,164/x
  3. Step 3: Cross multiply
    214,578x = 471,164 × 471,164
  4. Step 4: Simplify right side
    214,578x = 221,995,514,896
  5. Step 5: Solve for x
    x = 221,995,514,896/214,578
  6. Step 6: Final answer
    x = 1,034,567.92

Related Problems

Find third proportional to 107,289 and 235,582
Half scale
Find third proportional to 429,156 and 942,328
Double scale
Find third proportional to 214,580 and 471,168
Similar ratio
Find third proportional to 321,867 and 706,746
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.