Home / 321,646-473,113

Finding the Third Proportional to 321,646 and 473,113

Calculator

Solution

The third proportional to 321,646 and 473,113 is: 695,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,646 : 473,113 = 473,113 : x
  2. Step 2: Convert to fraction form
    321,646/473,113 = 473,113/x
  3. Step 3: Cross multiply
    321,646x = 473,113 × 473,113
  4. Step 4: Simplify right side
    321,646x = 223,835,910,769
  5. Step 5: Solve for x
    x = 223,835,910,769/321,646
  6. Step 6: Final answer
    x = 695,907.65

Related Problems

Find third proportional to 160,823 and 236,556.50
Half scale
Find third proportional to 643,292 and 946,226
Double scale
Find third proportional to 321,648 and 473,116
Similar ratio
Find third proportional to 482,469 and 709,669.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.