Home / 106,713-144,693

Finding the Third Proportional to 106,713 and 144,693

Calculator

Solution

The third proportional to 106,713 and 144,693 is: 196,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713 : 144,693 = 144,693 : x
  2. Step 2: Convert to fraction form
    106,713/144,693 = 144,693/x
  3. Step 3: Cross multiply
    106,713x = 144,693 × 144,693
  4. Step 4: Simplify right side
    106,713x = 20,936,064,249
  5. Step 5: Solve for x
    x = 20,936,064,249/106,713
  6. Step 6: Final answer
    x = 196,190.38

Related Problems

Find third proportional to 53,356.50 and 72,346.50
Half scale
Find third proportional to 213,426 and 289,386
Double scale
Find third proportional to 106,715 and 144,696
Similar ratio
Find third proportional to 160,069.50 and 217,039.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.