Home / 329,721-706,086

Finding the Third Proportional to 329,721 and 706,086

Calculator

Solution

The third proportional to 329,721 and 706,086 is: 1,512,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,721 : 706,086 = 706,086 : x
  2. Step 2: Convert to fraction form
    329,721/706,086 = 706,086/x
  3. Step 3: Cross multiply
    329,721x = 706,086 × 706,086
  4. Step 4: Simplify right side
    329,721x = 498,557,439,396
  5. Step 5: Solve for x
    x = 498,557,439,396/329,721
  6. Step 6: Final answer
    x = 1,512,058.50

Related Problems

Find third proportional to 164,860.50 and 353,043
Half scale
Find third proportional to 659,442 and 1,412,172
Double scale
Find third proportional to 329,723 and 706,090
Similar ratio
Find third proportional to 494,581.50 and 1,059,129
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.