Home / 269,299-409,544

Finding the Third Proportional to 269,299 and 409,544

Calculator

Solution

The third proportional to 269,299 and 409,544 is: 622,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,299 : 409,544 = 409,544 : x
  2. Step 2: Convert to fraction form
    269,299/409,544 = 409,544/x
  3. Step 3: Cross multiply
    269,299x = 409,544 × 409,544
  4. Step 4: Simplify right side
    269,299x = 167,726,287,936
  5. Step 5: Solve for x
    x = 167,726,287,936/269,299
  6. Step 6: Final answer
    x = 622,825.51

Related Problems

Find third proportional to 134,649.50 and 204,772
Half scale
Find third proportional to 538,598 and 819,088
Double scale
Find third proportional to 269,301 and 409,547
Similar ratio
Find third proportional to 403,948.50 and 614,316
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.