Home / 106,745-231,023

Finding the Third Proportional to 106,745 and 231,023

Calculator

Solution

The third proportional to 106,745 and 231,023 is: 499,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,745 : 231,023 = 231,023 : x
  2. Step 2: Convert to fraction form
    106,745/231,023 = 231,023/x
  3. Step 3: Cross multiply
    106,745x = 231,023 × 231,023
  4. Step 4: Simplify right side
    106,745x = 53,371,626,529
  5. Step 5: Solve for x
    x = 53,371,626,529/106,745
  6. Step 6: Final answer
    x = 499,991.82

Related Problems

Find third proportional to 53,372.50 and 115,511.50
Half scale
Find third proportional to 213,490 and 462,046
Double scale
Find third proportional to 106,747 and 231,027
Similar ratio
Find third proportional to 160,117.50 and 346,534.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.