Home / 329,196-769,206

Finding the Third Proportional to 329,196 and 769,206

Calculator

Solution

The third proportional to 329,196 and 769,206 is: 1,797,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,196 : 769,206 = 769,206 : x
  2. Step 2: Convert to fraction form
    329,196/769,206 = 769,206/x
  3. Step 3: Cross multiply
    329,196x = 769,206 × 769,206
  4. Step 4: Simplify right side
    329,196x = 591,677,870,436
  5. Step 5: Solve for x
    x = 591,677,870,436/329,196
  6. Step 6: Final answer
    x = 1,797,342.22

Related Problems

Find third proportional to 164,598 and 384,603
Half scale
Find third proportional to 658,392 and 1,538,412
Double scale
Find third proportional to 329,198 and 769,211
Similar ratio
Find third proportional to 493,794 and 1,153,809
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.