Home / 221,645-470,911

Finding the Third Proportional to 221,645 and 470,911

Calculator

Solution

The third proportional to 221,645 and 470,911 is: 1,000,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,645 : 470,911 = 470,911 : x
  2. Step 2: Convert to fraction form
    221,645/470,911 = 470,911/x
  3. Step 3: Cross multiply
    221,645x = 470,911 × 470,911
  4. Step 4: Simplify right side
    221,645x = 221,757,169,921
  5. Step 5: Solve for x
    x = 221,757,169,921/221,645
  6. Step 6: Final answer
    x = 1,000,506.08

Related Problems

Find third proportional to 110,822.50 and 235,455.50
Half scale
Find third proportional to 443,290 and 941,822
Double scale
Find third proportional to 221,647 and 470,915
Similar ratio
Find third proportional to 332,467.50 and 706,366.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.