Home / 75,714-164,685

Finding the Third Proportional to 75,714 and 164,685

Calculator

Solution

The third proportional to 75,714 and 164,685 is: 358,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714 : 164,685 = 164,685 : x
  2. Step 2: Convert to fraction form
    75,714/164,685 = 164,685/x
  3. Step 3: Cross multiply
    75,714x = 164,685 × 164,685
  4. Step 4: Simplify right side
    75,714x = 27,121,149,225
  5. Step 5: Solve for x
    x = 27,121,149,225/75,714
  6. Step 6: Final answer
    x = 358,205.21

Related Problems

Find third proportional to 37,857 and 82,342.50
Half scale
Find third proportional to 151,428 and 329,370
Double scale
Find third proportional to 75,716 and 164,689
Similar ratio
Find third proportional to 113,571 and 247,027.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.