Home / 103,624-164,778

Finding the Third Proportional to 103,624 and 164,778

Calculator

Solution

The third proportional to 103,624 and 164,778 is: 262,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 164,778 = 164,778 : x
  2. Step 2: Convert to fraction form
    103,624/164,778 = 164,778/x
  3. Step 3: Cross multiply
    103,624x = 164,778 × 164,778
  4. Step 4: Simplify right side
    103,624x = 27,151,789,284
  5. Step 5: Solve for x
    x = 27,151,789,284/103,624
  6. Step 6: Final answer
    x = 262,022.21

Related Problems

Find third proportional to 51,812 and 82,389
Half scale
Find third proportional to 207,248 and 329,556
Double scale
Find third proportional to 103,626 and 164,781
Similar ratio
Find third proportional to 155,436 and 247,167
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.