Home / 269,217-422,380

Finding the Third Proportional to 269,217 and 422,380

Calculator

Solution

The third proportional to 269,217 and 422,380 is: 662,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,217 : 422,380 = 422,380 : x
  2. Step 2: Convert to fraction form
    269,217/422,380 = 422,380/x
  3. Step 3: Cross multiply
    269,217x = 422,380 × 422,380
  4. Step 4: Simplify right side
    269,217x = 178,404,864,400
  5. Step 5: Solve for x
    x = 178,404,864,400/269,217
  6. Step 6: Final answer
    x = 662,680.53

Related Problems

Find third proportional to 134,608.50 and 211,190
Half scale
Find third proportional to 538,434 and 844,760
Double scale
Find third proportional to 269,219 and 422,383
Similar ratio
Find third proportional to 403,825.50 and 633,570
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.