Home / 137,267-320,689

Finding the Third Proportional to 137,267 and 320,689

Calculator

Solution

The third proportional to 137,267 and 320,689 is: 749,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,267 : 320,689 = 320,689 : x
  2. Step 2: Convert to fraction form
    137,267/320,689 = 320,689/x
  3. Step 3: Cross multiply
    137,267x = 320,689 × 320,689
  4. Step 4: Simplify right side
    137,267x = 102,841,434,721
  5. Step 5: Solve for x
    x = 102,841,434,721/137,267
  6. Step 6: Final answer
    x = 749,207.27

Related Problems

Find third proportional to 68,633.50 and 160,344.50
Half scale
Find third proportional to 274,534 and 641,378
Double scale
Find third proportional to 137,269 and 320,694
Similar ratio
Find third proportional to 205,900.50 and 481,033.50
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.