Home / 451,686-665,064

Finding the Third Proportional to 451,686 and 665,064

Calculator

Solution

The third proportional to 451,686 and 665,064 is: 979,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,686 : 665,064 = 665,064 : x
  2. Step 2: Convert to fraction form
    451,686/665,064 = 665,064/x
  3. Step 3: Cross multiply
    451,686x = 665,064 × 665,064
  4. Step 4: Simplify right side
    451,686x = 442,310,124,096
  5. Step 5: Solve for x
    x = 442,310,124,096/451,686
  6. Step 6: Final answer
    x = 979,242.49

Related Problems

Find third proportional to 225,843 and 332,532
Half scale
Find third proportional to 903,372 and 1,330,128
Double scale
Find third proportional to 451,688 and 665,067
Similar ratio
Find third proportional to 677,529 and 997,596
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.