Home / 75,456-165,420

Finding the Third Proportional to 75,456 and 165,420

Calculator

Solution

The third proportional to 75,456 and 165,420 is: 362,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456 : 165,420 = 165,420 : x
  2. Step 2: Convert to fraction form
    75,456/165,420 = 165,420/x
  3. Step 3: Cross multiply
    75,456x = 165,420 × 165,420
  4. Step 4: Simplify right side
    75,456x = 27,363,776,400
  5. Step 5: Solve for x
    x = 27,363,776,400/75,456
  6. Step 6: Final answer
    x = 362,645.47

Related Problems

Find third proportional to 37,728 and 82,710
Half scale
Find third proportional to 150,912 and 330,840
Double scale
Find third proportional to 75,458 and 165,424
Similar ratio
Find third proportional to 113,184 and 248,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.