Home / 65,408-145,620

Finding the Third Proportional to 65,408 and 145,620

Calculator

Solution

The third proportional to 65,408 and 145,620 is: 324,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408 : 145,620 = 145,620 : x
  2. Step 2: Convert to fraction form
    65,408/145,620 = 145,620/x
  3. Step 3: Cross multiply
    65,408x = 145,620 × 145,620
  4. Step 4: Simplify right side
    65,408x = 21,205,184,400
  5. Step 5: Solve for x
    x = 21,205,184,400/65,408
  6. Step 6: Final answer
    x = 324,198.64

Related Problems

Find third proportional to 32,704 and 72,810
Half scale
Find third proportional to 130,816 and 291,240
Double scale
Find third proportional to 65,410 and 145,624
Similar ratio
Find third proportional to 98,112 and 218,430
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.