Home / 103,696-217,834

Finding the Third Proportional to 103,696 and 217,834

Calculator

Solution

The third proportional to 103,696 and 217,834 is: 457,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 217,834 = 217,834 : x
  2. Step 2: Convert to fraction form
    103,696/217,834 = 217,834/x
  3. Step 3: Cross multiply
    103,696x = 217,834 × 217,834
  4. Step 4: Simplify right side
    103,696x = 47,451,651,556
  5. Step 5: Solve for x
    x = 47,451,651,556/103,696
  6. Step 6: Final answer
    x = 457,603.49

Related Problems

Find third proportional to 51,848 and 108,917
Half scale
Find third proportional to 207,392 and 435,668
Double scale
Find third proportional to 103,698 and 217,838
Similar ratio
Find third proportional to 155,544 and 326,751
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.