Home / 329,904-706,464

Finding the Third Proportional to 329,904 and 706,464

Calculator

Solution

The third proportional to 329,904 and 706,464 is: 1,512,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,904 : 706,464 = 706,464 : x
  2. Step 2: Convert to fraction form
    329,904/706,464 = 706,464/x
  3. Step 3: Cross multiply
    329,904x = 706,464 × 706,464
  4. Step 4: Simplify right side
    329,904x = 499,091,383,296
  5. Step 5: Solve for x
    x = 499,091,383,296/329,904
  6. Step 6: Final answer
    x = 1,512,838.23

Related Problems

Find third proportional to 164,952 and 353,232
Half scale
Find third proportional to 659,808 and 1,412,928
Double scale
Find third proportional to 329,906 and 706,468
Similar ratio
Find third proportional to 494,856 and 1,059,696
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.