Home / 214,307-470,922

Finding the Third Proportional to 214,307 and 470,922

Calculator

Solution

The third proportional to 214,307 and 470,922 is: 1,034,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,307 : 470,922 = 470,922 : x
  2. Step 2: Convert to fraction form
    214,307/470,922 = 470,922/x
  3. Step 3: Cross multiply
    214,307x = 470,922 × 470,922
  4. Step 4: Simplify right side
    214,307x = 221,767,530,084
  5. Step 5: Solve for x
    x = 221,767,530,084/214,307
  6. Step 6: Final answer
    x = 1,034,812.35

Related Problems

Find third proportional to 107,153.50 and 235,461
Half scale
Find third proportional to 428,614 and 941,844
Double scale
Find third proportional to 214,309 and 470,926
Similar ratio
Find third proportional to 321,460.50 and 706,383
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.