Home / 75,586-164,778

Finding the Third Proportional to 75,586 and 164,778

Calculator

Solution

The third proportional to 75,586 and 164,778 is: 359,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,586 : 164,778 = 164,778 : x
  2. Step 2: Convert to fraction form
    75,586/164,778 = 164,778/x
  3. Step 3: Cross multiply
    75,586x = 164,778 × 164,778
  4. Step 4: Simplify right side
    75,586x = 27,151,789,284
  5. Step 5: Solve for x
    x = 27,151,789,284/75,586
  6. Step 6: Final answer
    x = 359,217.17

Related Problems

Find third proportional to 37,793 and 82,389
Half scale
Find third proportional to 151,172 and 329,556
Double scale
Find third proportional to 75,588 and 164,782
Similar ratio
Find third proportional to 113,379 and 247,167
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.