Home / 321,514-706,086

Finding the Third Proportional to 321,514 and 706,086

Calculator

Solution

The third proportional to 321,514 and 706,086 is: 1,550,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,514 : 706,086 = 706,086 : x
  2. Step 2: Convert to fraction form
    321,514/706,086 = 706,086/x
  3. Step 3: Cross multiply
    321,514x = 706,086 × 706,086
  4. Step 4: Simplify right side
    321,514x = 498,557,439,396
  5. Step 5: Solve for x
    x = 498,557,439,396/321,514
  6. Step 6: Final answer
    x = 1,550,655.46

Related Problems

Find third proportional to 160,757 and 353,043
Half scale
Find third proportional to 643,028 and 1,412,172
Double scale
Find third proportional to 321,516 and 706,090
Similar ratio
Find third proportional to 482,271 and 1,059,129
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.