Home / 120,584-261,920

Finding the Third Proportional to 120,584 and 261,920

Calculator

Solution

The third proportional to 120,584 and 261,920 is: 568,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,584 : 261,920 = 261,920 : x
  2. Step 2: Convert to fraction form
    120,584/261,920 = 261,920/x
  3. Step 3: Cross multiply
    120,584x = 261,920 × 261,920
  4. Step 4: Simplify right side
    120,584x = 68,602,086,400
  5. Step 5: Solve for x
    x = 68,602,086,400/120,584
  6. Step 6: Final answer
    x = 568,915.33

Related Problems

Find third proportional to 60,292 and 130,960
Half scale
Find third proportional to 241,168 and 523,840
Double scale
Find third proportional to 120,586 and 261,924
Similar ratio
Find third proportional to 180,876 and 392,880
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.