Home / 320,069-689,710

Finding the Third Proportional to 320,069 and 689,710

Calculator

Solution

The third proportional to 320,069 and 689,710 is: 1,486,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,069 : 689,710 = 689,710 : x
  2. Step 2: Convert to fraction form
    320,069/689,710 = 689,710/x
  3. Step 3: Cross multiply
    320,069x = 689,710 × 689,710
  4. Step 4: Simplify right side
    320,069x = 475,699,884,100
  5. Step 5: Solve for x
    x = 475,699,884,100/320,069
  6. Step 6: Final answer
    x = 1,486,241.67

Related Problems

Find third proportional to 160,034.50 and 344,855
Half scale
Find third proportional to 640,138 and 1,379,420
Double scale
Find third proportional to 320,071 and 689,714
Similar ratio
Find third proportional to 480,103.50 and 1,034,565
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.