Home / 106,837-233,520

Finding the Third Proportional to 106,837 and 233,520

Calculator

Solution

The third proportional to 106,837 and 233,520 is: 510,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,837 : 233,520 = 233,520 : x
  2. Step 2: Convert to fraction form
    106,837/233,520 = 233,520/x
  3. Step 3: Cross multiply
    106,837x = 233,520 × 233,520
  4. Step 4: Simplify right side
    106,837x = 54,531,590,400
  5. Step 5: Solve for x
    x = 54,531,590,400/106,837
  6. Step 6: Final answer
    x = 510,418.59

Related Problems

Find third proportional to 53,418.50 and 116,760
Half scale
Find third proportional to 213,674 and 467,040
Double scale
Find third proportional to 106,839 and 233,524
Similar ratio
Find third proportional to 160,255.50 and 350,280
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.