Home / 103,464-221,686

Finding the Third Proportional to 103,464 and 221,686

Calculator

Solution

The third proportional to 103,464 and 221,686 is: 474,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464 : 221,686 = 221,686 : x
  2. Step 2: Convert to fraction form
    103,464/221,686 = 221,686/x
  3. Step 3: Cross multiply
    103,464x = 221,686 × 221,686
  4. Step 4: Simplify right side
    103,464x = 49,144,682,596
  5. Step 5: Solve for x
    x = 49,144,682,596/103,464
  6. Step 6: Final answer
    x = 474,993.07

Related Problems

Find third proportional to 51,732 and 110,843
Half scale
Find third proportional to 206,928 and 443,372
Double scale
Find third proportional to 103,466 and 221,690
Similar ratio
Find third proportional to 155,196 and 332,529
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.